1.A continuous random variable is uniformly distributed between 50

and 100.

a. What is the probability a randomly selected value will be greater than 85?

b. What is the probability a randomly selected value will be less than 65?

c. What is the probability a randomly selected value will be between 65 and 85?

a. P(x>85)=

(Simplify youranswer.)

b. P(x<65)equals=

(Simplify youranswer.)

c. P(65

Simplify youranswer.)

2.Construct an 80% confidence interval estimate for the population mean given the values below.

x overbar=290

sigma =50

n=224

The 80% confidence interval for the population mean is from

? to ?.