Suppose a random variable, x, has a uniform distribution with

a=3

and

b=13.

a. Calculate

P(6.5x10).

b. Determine

P(x<8).

c. Compute the mean,

,

and the standard deviation,

,

of this random variable.

d. Determine the probability that x is in the interval

(2).

a.

P(6.5x10)=enter your response here

(Simplify your answer.)

b.

P(x<8)=enter your response here

(Simplify your answer.)

c.

=enter your response here

(Simplify your answer.)

=enter your response here

(Round to three decimal places as needed.)

d.

P(2x+2)=enter your response here

(Round to three decimal places as needed.)