Discrete Probability Distributions

Problem 3

Determine whether the random variable is discrete or continuous.

1.The amount of rain in Seattle during the April.

2.The number of customers arriving at a bank between noon and 1:00 pm.

3.The number of athletes participating in the 2016 Summer Olympics.

4.The time required to download a file from the internet.

5.The distance traveled from your work to your home.

According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places.

6.Explain why this is a binomial experiment.

7.Find and interpret the probability that exactly 7 high school students participate in athletic programs.

8.Find and interpret the probability that fewer than 7 high school students participate in athletic programs.

9.Find and interpret the probability that at least 7 high school students participate in athletic programs.

10.Compute the mean and standard deviation of the binomial random variable.