Consider the following CDF for the continuous uniform random variable X:

, for 

What is the median of X?

The exponential distribution is the only probability distribution that is memoryless.

Between 11 PM and midnight on Thursday night, Mystery Pizza gets an average of 4.6 telephone orders per hour. 

Find the upper quartile of waiting time before the next telephone order.

Which of the following could not be probability density functions for a continuous random variable?

(A)  for 

(B)  for 

(C)  for 

Select all that apply.

The exponential distribution has a finite upper bound.

Between 11 PM and midnight on Thursday night, Mystery Pizza gets an average of 3.6 telephone orders per hour. 

Find the upper quartile of waiting time before the next telephone order.

Flaws in a certain type of drapery material appear on the average of one in 150 square feet. If we assume a Poisson distribution, find the probability of at most one flaw appearing in 225 square feet. Present your result with 3 decimal values. 

For each question on a multiple-choice test, there are five possible answers, of which exactly one is correct. If a student selects answers at random, give the probability that the first question answered correctly is question 4. Present your result with 4 decimal values.