According to a survey conducted by American Express, 77% of adults stated they w

Question

According to a survey conducted by American Express, 77% of adults stated they want access to their cell phones and laptops while on vacation. If ten adults are selected at random, determine the probability that exactly six of them want access to their cell phones and laptops while on vacation. The television show NBC Sunday Night Football broadcast a game between the Colts and Patriots and received a share of 22, meaning that among the TV sets in use, 22% were tuned to that game (based on data from Nielsen Media Research). An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 20 house-holds having TV sets in use at the time of that same NBC Sunday Night Football broadcast. Find the probability that none of the households are tuned to NBC Sunday Night Football.

Explanation / Answer

4) p = 0.77

P(6 out of 10 want access to their cell phones and laptops while on vacation) = 10C6 x 0.776 x 0.234

= 0.1225

5) p = 0.22

P(none of the 20 households turned to NBC Sunday Night Football) = (1-0.22)20 = 0.007

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