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Chapter 3: Q.43 (page 217)

Q and R are independent events. P(Q)=0.4 and P(QANDR)=0.1. Find P(R).

Short Answer

Expert verified

P(R)=0.25

Step by step solution

01

Content Introduction

Independent event are ones whose event is not contingent on the occurrence of another event.

02

Content Explanation

It is given that Q and R are independent events.

Therefore, P(R) can be calculated as follow:

P(Q鈥�AND鈥�R)=P(Q)脳P(R)0.1=0.4脳P(R)P(R)=0.25

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Most popular questions from this chapter

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(B).

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.

a. Find P(B鈥�).

b. Find P(D AND B).

c. Find P(B|D).

d. Find P(D AND B鈥�).

e. Find P(D|B鈥�).

Write the symbols for the probability that a player is an infielder or is not a great hitter.

Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E|M) mean in words?

What is conditional probability?
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