A certain TV show recently had a share of 80 meaning that am

A certain TV show recently had a share of 80, meaning that among the TV sets in use, 80% were tuned to that show. Assume that an advertiser wants to verify that 80% share value by conducting its own survey, and a pilot survey beginswith 8 households having TV sets in use at the same time of the TV show broadcast. Find the probability that all of the households are tuned to the TV show.

Solution

Required Probability = (Probability that house 1 is watching the show) AND (Probability that house 2 is watching the show) AND...... (Probability that house 8 is watching the show)

= 0.8 * 0.8* 0.8* 0.8* 0.8* 0.8* 0.8* 0.8

= (0.8)^8