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Assume that x is a random variable best described by

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).

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).

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