Question

The television show Degenerate Housewives has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to Degenerate Housewives. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 13 households have TV sets in use at the time of a Degenerate Housewives broadcast. Find the probability that none of the households are tuned to Degenerate Housewives.

A) 0.1074
B) 0.8926
C) 0.0200
D) 0.9800

Answer 1

To determine the probability that none of the 13 households are watching the show with a 20% viewership, we calculate 0.80 to the power of 13, which equals 0.0547. This result does not align with any of the provided multiple-choice answers, prompting a review of the question or the calculations.

Step-by-step explanation:

To find the probability that none of the households are tuned to Degenerate Housewives when the show has a 20% share, we can model this situation using the binomial probability formula. However, since we want the probability of 0 households watching the show, we can simplify this to a direct calculation using the complement. The probability that a household is not watching the show is 1 - 0.20, which is 0.80 (or 80%). The probability that all 13 households are not watching the show is simply 0.80 raised to the power of 13:

Probability(none watching) = 0.80^13

By calculating this, we get:

Probability(none watching) = 0.0547

Therefore, the probability that none of the 13 households surveyed are watching Degenerate Housewives is 0.0547, which is not one of the provided options (A-D). Hence, we may have to review the question or our understanding of it, as none of the options matches our calculation.