Suppose x is a random variable best described by a uniform probability distribution with c = 20 and d = 45.

Find the followmg probabilities:

a. ~(20 5 x 5 30)

b. ~(20 < x 5 30)

c. P(X 2 30)

d. ~(x 3 45)

e. P(X 5 40)

t ~(x < 40) g. ~(15 I x i 35)

h. ~(21.5 5 x 5 31.5)

Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 7.

a. Find f(x).

b. Find the mean and standard deviation of x.

c. Find P(~ - cr 5 x 5 p + c).