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 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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