Measures of Independent Random Variables

Practice Questions

AP Statistics › Measures of Independent Random Variables

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1

If is a random variable with a mean of and standard deviation of , what is the mean and standard deviation of ?

2

If is a random variable with a mean of and standard deviation of , what is the mean and standard deviation of ?

3

An experiment is conducted on the watermelons that were grown on a small farm. They want to compare the average weight of the melons grown this year to the average weight of last year's melons. Find the mean of this year's watermelons using the following weights:

4

An experiment is conducted on the watermelons that were grown on a small farm. They want to compare the average weight of the melons grown this year to the average weight of last year's melons. Find the mean of this year's watermelons using the following weights:

5

and are independent random variables. If has a mean of and standard deviation of while variable has a mean of and a standard deviation of , what are the mean and standard deviation of ?

6

A high school calculus exam is administered to a group of students. Upon grading the exam, it was found that the mean score was 95 with a standard deviation of 12. If one student's z score is 1.10, what is the score that she received on her test?

7

and are independent random variables. If has a mean of and standard deviation of while variable has a mean of and a standard deviation of , what are the mean and standard deviation of ?

8

If you have ten independent random variables , normally distributed with mean and variance , what is the distribution of the average of the random variables,

9

If you have ten independent random variables , normally distributed with mean and variance , what is the distribution of the average of the random variables,

10

A high school calculus exam is administered to a group of students. Upon grading the exam, it was found that the mean score was 95 with a standard deviation of 12. If one student's z score is 1.10, what is the score that she received on her test?

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