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What is the average number of programs

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Ella Educationer is Edith's sister. She is also interested in studying children's programming, but she is interested in the quality of the show rather than the commercials.  Ella watches programs and then rates them as either Good or Bad.  She believes that this now is a binomial experiment, with a constant probability across every new program viewed.  This will then become a binomial distribution.  Suppose Ella is going to watch 10 programs and the probability that a show will be rated as good is 0.35.  Ella will count the number of programs that will be rated as good.  Use this information answer questions a - g.

a. If this is a binomial, what is:

n=

p=

q=

b. What is the average number of programs, µ, that will rated as good?

c. What is the variance, σ2, and standard deviation,σ,of this binomial distribution?

d. What is the probability that less than 7 shows will be rated as good P(X < 7)?

e. What is the probability that none of the shows will be rated as good P(X =  0)?

f. What is the probability that at least 2 shows will be rated as good?

Reference no: EM132155850

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