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Chapter 5: Q 7. (page 246)

Suppose thatE is an event. Use probability notation to represent

(a) the probability that event E occurs.

(b) the probability that event Eoccurs is 0.436

Short Answer

Expert verified

Part (a) P(E).

Part (b)P(E)=0.436.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

Suppose thatEis an event. Use probability notation to represent the probability that event E occurs.

02

Part (a) Step 2. Write the probability notation to represent the probability that event E occurs.

We know from the concept of probability that any occurrence should have a probability that is greater than 0 but less than 1.

Any event's probability can be written as:P(E)

03

Part (b) Step 1. Write the probability notation to represent the probability that event E occurs is 0.436.

Any event's probability can be stated as P(E).

Therefore, the occurrence of an event with a probability of "0.436" can be written in probability notation as:

P(E)=0.436

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Most popular questions from this chapter

Consider the set consisting of the first 10positive whole numbers (1to10).Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least 6.

Part (b) at most 3.

Part (c) between 2and 5 inclusive.

Constract a venn diagram representing the event.

Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=5,p=0.6,P(X=3)

Bilingual and Trilingual. At a certain university in the United States, 62 % of the students are at least bilingual - speaking English and at least one other language. Of these students, 80 % speak Spanish and, of the 80 % who speak Spanish, 10 % also speak French. Determine the probability that a randomly selected student at this university

(a) does not speak Spanish.

(b) speaks Spanish and French.

Constract a venn diagram representing the event.

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