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Chapter 3: Q.40 (page 217)

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E鈭).

Short Answer

Expert verified

P(EandF)=0as E and F are mutually exclusive.

Step by step solution

01

Content Introduction

Two events are said to be mutually exclusive in probability theory if they cannot occur at the same time or concurrently. In other words, discontinuous events are events that are mutually exclusive. If two occurrences are considered discontinuous, the chances of both happening at the same time are nil.

02

Content Explanation

We are given: P(E)=0.4andP(F)=0.5

Also, it is given that E and F are exclusively mutual. Therefore, P(EandF)=0

Hence, it can be calculated as follow:

P(E|F)=P(EAND鈥�F)P(F)P(E|F)=00.5P(E|F)=0

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Most popular questions from this chapter

The events "Other" and "Up for reelection in November 2016" are

a. mutually exclusive.

b. independent.

c. both mutually exclusive and independent.

d. neither mutually exclusive nor independent.

Suppose that 10,000U.S.licensed drivers are randomly selected.

a. How many would you expect to be male?

b. Using the table or tree diagram, construct a contingency table of gender versus age group.

c. Using the contingency table, find the probability that out of the age 20-64group, a randomly selected driver is female.

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:

a. Let F = the event of getting the white ball twice.

b. Let G = the event of getting two balls of different colors.

c. Let H = the event of getting white on the first pick.

d. Are F and G mutually exclusive?

e. Are G and H mutually exclusive?

Table relates the weights and heights of a group of individuals participating in an observational study.

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b. Find the probability that a randomly chosen individual from this group is Tall.

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d. Find the probability that a randomly chosen individual from this group is Tall given that the individual is Obese.

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