Question

In: Statistics and Probability

The television show Cold Case has a 15 share, meaning that while it is being broadcast,...

  1. The television show Cold Case has a 15 share, meaning that while it is being broadcast, 15% of the TV sets in use are tuned to Cold Case (based on the Nielson Media Research). A group that consists of 12 randomly selected households (each with one TV set) is taken. This is a binomial distribution.

  1. For such a group of 12, determine the probability that exactly four TV sets are tuned into cold case.
  2. For such a group of 12, determine the probability that 4 or more TV sets are tuned into Cold Case.
  3. For such a group of 12, determine the probability that at most 4 TV sets are tuned into Cold Case.
  4. For such a group of 12, determine the probability that no TV sets are tuned into Cold Case. Is this situation unusual? Why or why not?
  5. Determine the mean and standard deviation.

Solutions

Expert Solution

X is no of tv sets tuned into cold case follow binomial distribution with n =12,probability =0.15

A) P(x=4)=0.0688

B)P(X>=4)=0.0922

C) P( X<=4) = 0.9766

D) P(X=0) =0.1422

E) mean =1.8

Standard deviation =1.237

Solution file is attached go through it

Thanks


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