# Question: Suppose that the random variable x has a uniform distribution

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?

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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