A TV show. Lindsay and Tobias, recently had a share of 10, meaning that among th

Question

A TV show. Lindsay and Tobias, recently had a share of 10, meaning that among the TV sets in use, 10% were tuned to that show. Assume that an advertiser wants to verify that 10% share value by conducting its own survey, and a pilot survey begins with 15 households having TV sets in use at the time of a Lindsay and Tobias broadcast. Find the probability that none of the households are tuned to Lindsay and Tobias. Find the probability that at least one household is tuned to Lindsay and Tobias. Find the probability that at most one household is tuned to Lindsay and Tobias. If at most one household is tuned to Lindsay and Tobias, does it appear that the 10% share value is wrong? Why or why not? Yes. because with a 10% rate, the probability of at most one household is greater than 0.05. Yes, because with a 10% rate, the probability of at most one household is less than 0.05. No, because with a 10% rate, the probability of at most one household is greater than 0.05. No, because with a 10% rate, the probability of at most one household is less than 0.05.

Explanation / Answer

a) This corresponds to binomial probbaility with probability of success, p=0.10, number of trials, n=15 and specific number of success, in n trials is r.

P(X,r)=nCr(p)^r(q)^n-r

P(X=0)=15C0(0.10)^0(0.90)615=0.2059

b) P(X>=1)=1-P(X<1)=1-P(X=0)=1-0.2059=0.7941

c) P(X<=1)=P(X=0)+P(X=1)=0.5490

d) Option C)

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