Suppose a television show rating of 6.4 means that 6.4% of the 110 million TV households watched the show. If a sample of 123 local TV households were queried, what is the probability that more than 9 would have watched the show? Round your answer to four decimal places.
A)0.3604
B)0.2743
C)0.7257
D)0.5254
E)0.4219

Question

Suppose a television show rating of 6.4 means that 6.4% of the 110 million TV households watched the show. If a sample of 123 local TV households were queried, what is the probability that more than 9 would have watched the show? Round your answer to four decimal places. ​
A)​0.3604
B)​0.2743
C)​0.7257
D)​0.5254
E)​0.4219

Quizplus · Accepted Answer

First, we need to find the probability of a local TV household watching the show:
6.4% = 0.064
Next, we can use the binomial distribution to find the probability of more than 9 households watching the show in a sample of 123:
P(X > 9) = 1 - P(X ≤ 9)
Using a binomial calculator or table, we find that P(X ≤ 9) = 0.7257
Therefore, P(X > 9) = 1 - 0.7257 = 0.2743, which is the probability of interest.

Suppose a Television Show Rating of 6