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 μ ± 2σ on the graph.
d. Find P(x ≤ 45).
e. Find (P ≥ 58).
f. Find P(x ≤ 100).
g. Find P(μ – σ ≤ x ≤ μ + σ) .
h. Find P(x > 60).