Suppose x is a random variable best described by a uniform

Chapter 4, Problem 132E

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QUESTION:

Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 7.

a. Find f(x).

b. Find the mean and standard deviation of x.

c. Find \(P(\mu-\sigma\ \leq\ x\ \leq\ \mu+\sigma)\).

Questions & Answers

QUESTION:

Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 7.

a. Find f(x).

b. Find the mean and standard deviation of x.

c. Find \(P(\mu-\sigma\ \leq\ x\ \leq\ \mu+\sigma)\).

ANSWER:

Answer

Step 1 of 3

(a)

Suppose  is a random variable best described by a uniform probability distribution with  and

We are asked to find the

 The uniform probability density function can be defined as,

Hence we can write


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