A TV show, Lindsay and Tobias, recently had a share of 15, meaning that among th

Question

A TV show, Lindsay and Tobias, recently had a share of 15, meaning that among the TV sets in use, 15% were tuned to that show. Assume that an advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 17 households having TV sets in use at the time of a Lindsay and Tobias broadcast. a. Find the probability that none of the households are tuned to Lindsay and Tobias (Round to three decimal places as needed.) b. Find the probability that at least one household is tuned to Lindsay and Tobias. (Round to three decimal places as needed.) c. Find the probability that at most one household is tuned to Lindsay and Tobias. (Round to three decimal places as needed.) d. If at most one household is tuned to Lindsay and Tobias, does it appear that the 15% share value is wrong? o A. Yes, because with a 15% rate, the probability of at most one household is less than 0.05 Yes, because with a 15% rate, the probability of at most one household is greater than 0.05. B. ° C. No, because with a 15% rate, the probability of at most one household is less than 0.05 D. No, because with a 15% rate, the probability of at most one household is greater than 0.05. Click to select your answer(s.

Explanation / Answer

This question follows poisson distribution

Hence, the expected mean value of the 17 households is 0.15*17 = 2.55

a. P(X = 0) = 0.078

b. P(atleast 1)= 1- P(X = 0) = 1 - 0.078 = 0.922

c. P( atmost 1 household) =  P(X = 0)+ P(X = 1) = 0.078+ 0.199 = 0.277

d. D , No because with 15% rate , the prob. of at most one household is greter than 0.05

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