Question: Suppose that the random variable x has a uniform distribution with c = 2 and d = 8. a. Write the formula for the probability

Suppose that the random variable x has a uniform distribution with c = 2 and d = 8.

a. Write the formula for the probability curve of x, and write an interval that gives the possible values of x.

b. Graph the probability curve of x.

c. Find P(3 ≤ x ≤ 5).

d. Find P(1.5 ≤ x ≤ 6.5).

e. Calculate the mean μx, variance σ2x, and standard deviation σx.

f. Calculate the interval [μx ± 2σx]. What is the probability that x will be in this interval?

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