CBS televised a recent Super Bowl football game between the Saints and the Colts

Question

CBS televised a recent Super Bowl football game between the Saints and the Colts. That game received a rating of 45, indicating that among all US households, 45% were tuned to the game. An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 12 randomly selected households, a) Find the probability that none of the households is tuned to the Saints/Colts game. b) Find the probability that at least one of the households is tuned to the Saints/Colts game. c) Find the probability that at most one of the households is tuned to the Saints/Colts game.

Explanation / Answer

Answer:

Let X be the number of households who tuned to the game.

X follows a binomial distribution with parameters n = 12 and p = 0.45

(a)P[X = 0] = 0.000766
excel command: binomdist(0,12,0.45,false)

(b) P[X = 1] = 0.007523
excel command: binomdist(1,12,0.45,false)

(c) P[X<=1] = P[X = 0] + P[X = 1]

=0.000766 + 0.007523 = 0.008289

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