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. Assum e that an advertiser wants to verify that 10% share value by conducting its own survey, and a pilot survey begins with 13 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.)

Explanation / Answer

This will be a binomial experiment with parameters:

n = 13, p = 0.10

q = 1 - p = 1 - 0.10 = 0.90

Hence,

a) P(None) = (0.90)13 = 0.254

b) P(Atleast one) = 1 - P(None) = 1 - 0.254 = 0.746

c) P(Atmost one) = P(0) + P(1) = (0.90)13 + 13C1*(0.10)*(0.90)12 = 0.367

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