A discrete random variable x can assume five possible

Chapter 4, Problem 11E

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QUESTION:

Problem 11E

A discrete random variable x can assume five possible values: 20, 21, 22, 23, and 24. The following Minitab histogram shows the likelihood of each value.

a. What is p(22)?

b. What is the probability that x equals 20 or 24?

c. What is P(x ≤ 23)?

Questions & Answers

QUESTION:

Problem 11E

A discrete random variable x can assume five possible values: 20, 21, 22, 23, and 24. The following Minitab histogram shows the likelihood of each value.

a. What is p(22)?

b. What is the probability that x equals 20 or 24?

c. What is P(x ≤ 23)?

ANSWER:

Step 1 of 3

(a)

Find  p(22) .

The random variable x takes the values as given below:

20, 21, 22, 23, 24

From the MINITAB histogram, the respective probabilities are given below:

   p(20) = 0.15

   p(21) = 0.10

   p(22) = 0.25

   p(23) = 0.30

   p(24) = 0.20

Thus,   p(22) =

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