Dr. Richmond, a psychologist, is studying the daytime

Solution:

Step 1 of 4:

    From the given problem we have

        n = 10, p = 45% , q = 1- 0.45

                       = 0.45     = 0.55

It is a binomial distribution with parameters n = 10, p = 0.45.

The pmf is given by

a). To develop a probability distribution for the number of students in the sample who watch soap operas 

         Here a random variable X follows the number of students in the sample who watch soap operas.

    Here, n = 10, p = 0.45.

The pmf of X is given by

         Then the probability distribution is

     Calculating the probabilities for x = 0,1,2,..,10 we obtain the probability distribution.