# Question: The time in minutes necessary to perform a certain task

The time, in minutes, necessary to perform a certain task has the uniform [5, 9] distribution.

a. Write the probability density function of this random variable.

b. What is the probability that the task will be performed in less than 8 minutes? Explain.

c. What is the expected time required to perform the task?

a. Write the probability density function of this random variable.

b. What is the probability that the task will be performed in less than 8 minutes? Explain.

c. What is the expected time required to perform the task?

## Relevant Questions

Suppose X has the following probability density function: a. Graph the density function. b. Show that f (x) is a density function. c. What is the probability that X is greater than 5.00? A major ski resort in the eastern United States closes in late May. Closing day varies from year to year depending on when the weather becomes too warm for making and preserving snow. The day in May and the number of years ...According to a front-page article in The Wall Street Journal, 30% of all students in American universities miss classes due to drinking.8 If 10 students are randomly chosen, what is the probability that at most 3 of them ...Find a value such that the probability that the standard normal random variable will be above it is 0.85. A normal random variable has mean 0 and standard deviation 4. Find the probability that the random variable will be above 2.5.Post your question