114 Assume that x is a random variable best described by a uniform distribution with c = 40 and d = 70.

a. Find f ( x ).

b. Find the mean and standard deviation of x.

c. Graph the probability distribution for x , and locate its mean and the interval m { 2s on the graph.

d. Find P(x … 45).

e. Find (P Ú 58).

f. Find P(x … 100).
g. Find P(m - s … x … m + s) .
h. Find P(x 7 60).