certain TV show recently had a share of 70, meaning that among the TV sets in us

Question

certain TV show recently had a share of 70, meaning that among the TV sets in use, 70% were tuned to that show. Assume that an advertiser wants to verify that 70% share value by conducting its own survey, and a pilot survey begins with 11 households having TV sets in use at the time of the TV show broadcast. Complete parts (a) through (d) below.

. Find the probability that all of the households are tuned to the TV show.

The probability that all of the households are tuned to the TV show is

0.020

(Round to three decimal places as needed.)

b. Find the probability that exactly

10

households are tuned to the TV show.

The probability that exactly

10

households are tuned to the TV show is

nothing .

(Round to three decimal places as needed.)

Explanation / Answer

a) Let X denote the number of households that are tuned to the YV show, then X follows binomial distribution with n=11 and p=0.70

So, the probability that all of the households are tuned to the TV show

=P(X=11)

=0.020 using excel function =BINOMDIST(11,11,0.7,FALSE)

b) The probability that exactly 10 households are tuned to the TV show

=P(X=10)

= 0.093 using excel function =BINOMDIST(11,11,0.7,FALSE)

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