Question No. 1:

A team of students participates in a project. The results show that all students are able to finish the project in 7 days. The distribution for the finishing time is given in the following table.

Finishing Time, hours:1234567

Students:21432348312935

Define x as the finishing time.

(a) ObtainP(X = 1), P(X = 2), ..., P(X = 7).

(b) Draw the probability distribution.

(c) Calculate the cumulative function F(x).

(d) Draw the cumulative function.

Question No. 2

A phone marketing company knows that the number of people who answer the phone between 10:00 and 10:15 a.m. has a Poisson distribution. The average number is eight. What is the probability that the phone company will reach exactly 10 people when it calls during this period? What is the probability that it will reach exactly three people?

Question No. 3

Wetoss two six-sided dice and let the random variable be the total number of dots observed.

(a) Calculate both the probability and the cumulative probability distributions.

(b) Draw a graph associated with probability distribution you obtained in part (a).