How to find mean of a random variable - AP Statistics
Card 1 of 20
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Tap to reveal answer
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean: 
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
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Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
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There are 
collectable coins in a bag. 
are 
ounces, 
are 
ounces, 
are 
ounces, and 
are 
ounces. If one coin is randomly selected, what is the mean possible weight in ounces?
There are
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
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A basketball player makes 
of his three-point shots. If he takes 
three-point shots each game, how many points per game does he score from three-point range?
A basketball player makes
Tap to reveal answer
First convert 
.
The player's three-point shooting follows a binomial distribution with 
and 
.
On average, he thus makes 
three-point shots per game.
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
First convert
The player's three-point shooting follows a binomial distribution with
On average, he thus makes
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
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Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is 
ii: the mean is 
iii: the median is 
iv: the range is 
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tap to reveal answer
Analyzing the data, there are more 6s than anything else (mode), the median is between 
and 
, the mean is 
, and the range is 
Analyzing the data, there are more 6s than anything else (mode), the median is between
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Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Tap to reveal answer
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
← Didn't Know|Knew It →
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
← Didn't Know|Knew It →
There are collectable coins in a bag. are ounces, are ounces, are ounces, and are ounces. If one coin is randomly selected, what is the mean possible weight in ounces?
There are
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
← Didn't Know|Knew It →
A basketball player makes of his three-point shots. If he takes three-point shots each game, how many points per game does he score from three-point range?
A basketball player makes
Tap to reveal answer
First convert .
The player's three-point shooting follows a binomial distribution with and .
On average, he thus makes three-point shots per game.
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
First convert
The player's three-point shooting follows a binomial distribution with
On average, he thus makes
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
← Didn't Know|Knew It →
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tap to reveal answer
Analyzing the data, there are more 6s than anything else (mode), the median is between and , the mean is , and the range is
Analyzing the data, there are more 6s than anything else (mode), the median is between
← Didn't Know|Knew It →
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Tap to reveal answer
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
← Didn't Know|Knew It →
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
← Didn't Know|Knew It →
There are collectable coins in a bag. are ounces, are ounces, are ounces, and are ounces. If one coin is randomly selected, what is the mean possible weight in ounces?
There are
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
← Didn't Know|Knew It →
A basketball player makes of his three-point shots. If he takes three-point shots each game, how many points per game does he score from three-point range?
A basketball player makes
Tap to reveal answer
First convert .
The player's three-point shooting follows a binomial distribution with and .
On average, he thus makes three-point shots per game.
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
First convert
The player's three-point shooting follows a binomial distribution with
On average, he thus makes
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
← Didn't Know|Knew It →
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tap to reveal answer
Analyzing the data, there are more 6s than anything else (mode), the median is between and , the mean is , and the range is
Analyzing the data, there are more 6s than anything else (mode), the median is between
← Didn't Know|Knew It →
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
Tap to reveal answer
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
← Didn't Know|Knew It →
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
← Didn't Know|Knew It →
There are collectable coins in a bag. are ounces, are ounces, are ounces, and are ounces. If one coin is randomly selected, what is the mean possible weight in ounces?
There are
Tap to reveal answer
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
← Didn't Know|Knew It →
A basketball player makes of his three-point shots. If he takes three-point shots each game, how many points per game does he score from three-point range?
A basketball player makes
Tap to reveal answer
First convert .
The player's three-point shooting follows a binomial distribution with and .
On average, he thus makes three-point shots per game.
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
First convert
The player's three-point shooting follows a binomial distribution with
On average, he thus makes
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
← Didn't Know|Knew It →
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
Tap to reveal answer
Analyzing the data, there are more 6s than anything else (mode), the median is between and , the mean is , and the range is
Analyzing the data, there are more 6s than anything else (mode), the median is between
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