Discrete Probability Distributions

Discrete Probability Distributions

 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.

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