How many commercials

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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.  

a. How many commercials, X, is the most likely outcome to occur?

b. Find the average number and standard deviation of commercials a child will expect to see in a program.

c. What is the probability that a child will see 10 or more commercials when watching a program?  P(X ≥ 10)

d.  What is the probability that a child will watch 4 commercials?  P(X <4)

e. What is the probability that a child will watch exactly 12 commercials?  P(X =12)

f. What is the probability that a child will watch exactly 7 commercials?  P(X =7)

g. What is the expected number of commercials in a program? 

h. Graph the probability Distribution

Reference no: EM132155851

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