Reference no: EM131107700

Q.#2) The waiting time for an incoming call at the front desk of mathematics Department follows an exponential distribution. During business hours, the average of the waiting times is 10 minutes.
(a) What is the cumulative distribution function and the variance of the waiting time?
(b) What is the probability that the first call after 9:30 a.m. is between 9:45 a.m. and 9:55 a.m.?
(c) If there is no call between 9:30 a.m. and 9:45 a.m., what is the probability that there will be no call between 9:30 a.m. and 9:55 a.m.?

Q.#3 A football coach recorded in the practice sessions how many attempts were needed for a certain player to kick a field goal from the 25-yard line, and got the following numbers
3 3 1 4 2 1 1 2 3 2
Assuming that the outcomes of the attempts are independent,
(a) What is the distribution of the number of attempts needed for the player to kick a field goal? What is the parameter of the distribution?
(b) Using the method of moments, estimate the probability that the player kicks a field goal at an attempt.

Q.#5) The sizes of 15 California earthquakes are given below.
6.8 6.6 7.5 6.2 6.5 7.1 8.3 5.9 6.1 6.9 7.0 6.2 5.9 6.3 7.3
(a) Assuming normal distribution for the size of the earthquakes, estimate the
parameters of the normal distribution using the method of the moments.
(b) Find a 95% confidence interval for the mean size. 

Attachment:- calc.rar