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Edith Educationer has a real problem with children’s television programs. She believes there are too many...

Edith Educationer has a real problem with children’s television programs. She believes there are too many commercials in them. To study this, she collects a sample of 500 children’s programs (n = 500) and counts how many commercials are on during the program. The frequency count of programs with the number of commercials is found below:

Commercials, X

8

9

10

11

12

Frequency

50

75

150

125

100

P(X)

Complete the table to produce the general discrete probability distribution. Use this probability distribution to answer questions a – h.

  1. How many commercials, X, is the most likely outcome to occur?
  2. Find the average number and standard deviation of commercials a child will expect to see in a program.
  1. What is the probability that a child will see 10 or more commercials when watching a program? P(X ≥ 10)
  2. What is the probability that a child will watch 4 commercials? P(X < 4)
  3. What is the probability that a child will watch exactly 12 commercials? P(X = 12)
  4. What is the probability that a child will watch exactly 7 commercials? P(X = 7)
  5. What is the expected number of commercials in a program?
  6. Graph the probability Distribution
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