Question: 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

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 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 x , variance 2 , and standard deviation x.

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

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