Statistical Patterns and Random Phenomena

Practice Questions

AP Statistics › Statistical Patterns and Random Phenomena

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1

Let us suppose we have population data where the data are distributed Poisson

(see the figure for an example of a Poisson random variable). 360px-poisson_pmf.svg

Which distribution increasingly approximates the sample mean as the sample size increases to infinity?

2

When rolling a 6 sided dice, what is the probability of rolling a 2 or a 4?

3

Which of the following is a discrete random variable?

4

In a particular library, there is a sign in the elevator that indicates a limit of persons and a weight limit of . Assume an approximately normal distribution, that the average weight of students, faculty, and staff on campus is , and the standard deviation is .

If a random sample of people is taken, what is the standard deviation of their weights?

5

Which of the following is a discrete random variable?

6

Which of the following is a discrete random variable?

7

In a particular library, there is a sign in the elevator that indicates a limit of persons and a weight limit of . Assume an approximately normal distribution, that the average weight of students, faculty, and staff on campus is , and the standard deviation is .

If a random sample of people is taken, what is the standard deviation of their weights?

8

Assume there is an election involving three parties: D, R, and I. The probability of D winning is .11, R winning is .78, and I winning is .11. What is the probability of D or R winning?

9

Students collected 150 cans for a food drive. There were 23 cans of corn, 48 cans of beans, and 12 cans of tomato sauce. If a student randomly selects one can to give away, what is the probability that the can will be either tomato sauce or beans?

10

When rolling a 6 sided dice, what is the probability of rolling a 2 or a 4?

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