2) Assume thatXfollows a continuous uniform distribution on the interval [2, 12].

Find the 90th percentile ofX. In other words, find a numberP90

such thatP[XP90]=0.90

.

Provide an exact answer.

3)

Assume thatXfollows a continuous uniform distribution on the interval [2.6, 8.9].

FindE[X].

Provide an exact answer.

4)

Assume thatXfollows a continuous uniform distribution on the interval [1, 10].

Find the standard deviation ofX.

Round your answer to 4 decimal places.

5)

Hold times for individuals calling into a certain company's support center are uniformly distributed between 0 and 11 minutes.

A person calls in to the support center. Find the probability that their hold time will be less than 7.6 minutes.

Round your answer to 4 decimal places.

6)

Hold times for individuals calling into a certain company's support center are uniformly distributed between 0 and 11 minutes.

A person calls in to the support center. Find the probability that their hold time will be greater than 5.2 minutes.

Round your answer to 4 decimal places.

7)

Hold times for individuals calling into a certain company's support center are uniformly distributed between 0 and 11 minutes.

A person calls in to the support center. Find the probability that their hold time will be between 3.8 and 6.4 minutes.

Round your answer to 4 decimal places.

8)

Hold times for individuals calling into a certain company's support center are uniformly distributed between 0 and 11.5 minutes.

A person calls in to the support center. Find their expected wait time.

Provide an exact answer.

9)

Several cars parked in a large parking lot sustain hail damage during a storm. The repair costs for the cars are uniformly distributed between $100 and $600.

A car is selected at random from the lot. Find the probability that the repair costs for the car are less than $300.

Provide an exact answer.

10)

Several cars parked in a large parking lot sustain hail damage during a storm. The repair costs for the cars are uniformly distributed between $100 and $600.

A car is selected at random from the lot. Find the probability that the repair costs for the car are greater than $386.

Provide an exact answer.