A random group of thirty customers at a local theater was interviewed regarding

Question

A random group of thirty customers at a local theater was interviewed regarding their movie viewing

habits. The following responses were obtained for

the question, “How many times during the past

month did you go to the movies?”

Number of movies attended

0

1

2

3

4

Number of customers

3

10

8

6

3

a.

Construct the probability distribution for X = number of times to attend a movie during the

past

month and construct the cumulative probability distribution for this data.

b.

Find the probability that a customer selected at random went to the movies: 1) more than one

time, 2) two times, 3) at least two times, 4) no more than three times.

c.

Compute t

he mean, variance, and standard deviation for this data.

Explanation / Answer

E(X) = Mean = 7.267

E(X^2) = 59.4

Var(x) = 6.596

Std dev = 2.568

No of customers Prob Cum prob x*p x^2*p 3 0 0.1 0.1 0.3 0.9 10 10 0.333333 0.433333 3.333333 33.33333 8 16 0.266667 0.7 2.133333 17.06667 6 18 0.2 0.9 1.2 7.2 3 12 0.1 1 0.3 0.9 30 56 1 7.266667 59.4

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