The television show CSI: Shoboygan has been successful for many years. That show

Question

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 31, meaning that among the TV sets in use, 31% were tuned to CSI: Shoboygan. Assume that an advertiser wants to verify that 31% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a CSI: Shoboygan broadcast.

a). Find the probability that none of the households are tuned to CSI: Shoboygan. P(none) = ?

b) Find the probability that at least one household is tuned to CSI: Shoboygan. P(at least one) = ?

c) Find the probability that at most one household is tuned to CSI: Shoboygan. P(at most one) =?

Explanation / Answer

solution:-

a. P(none) = 0.0055
The probability is none is .69^14 = .0055
b. P(at least one) = 0.9945
You can use answer from a to get this answer: the probability of at least one is 1 - <probability of none> = 1 -0.0055 = 0.9945
c. P(at most one) =0.0404
The probability of exactly one is 14 * .69^13 * 0.31 = 0.0349. Add to that the probability of none (see answer a), and you get 0.0404

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.