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Chapter 4: Q. 90 (page 293)

What is the probability that the San Jose Sharks win six games in that upcoming month?

a.0.1476b.0.2336c.0.7664d.0.8903

Short Answer

Expert verified

The probability that the San Jose Sharks win six games in that upcoming month is a.0.1476

Step by step solution

01

Given information

The probability that the San Jose Sharks will win any given game is 0.3694based on a 13-yearwin history of 382wins out of 1,034games played (as of a certain date).

An upcoming monthly schedule contains 12games.

02

Explanation

P=0.3694(1−P)=1−0.3694=0.6306

The upcoming month schedule contains12 games .n=12
We know that
Binomial ProbabilityP(X=x)=nCxxPxx(1−P)(n−x)

Probability that San Jose Sharks will win 6 games in the upcoming month. =P(X=6)
Here,
n=12,x=6,P=0.3694,(1−P)=0.6306
Then binomial probability

P(X=5)=12C6x(0.3694)6x(0.6306)(12−6)P(X=6)=924x(0.3694)6x(0.6306)(6)P(X=6)=0.1476

The Probability that San Jose Sharks will win 5 games in the upcoming month is0.1476

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Most popular questions from this chapter

A palette has 200 milk cartons. Of the 200 cartons, it is known that ten of them have leaked and cannot be sold. A stock clerk randomly chooses 18 for inspection. He wants to know the probability that among the 18, no more than two are leaking. Give five reasons why this is a hypergeometric problem.

Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many adults in America do you expect to survey until you find one who will watch the Super Bowl?

e. Find the probability that you must ask seven people.

f. Find the probability that you must ask three or four people

Sixty-five percent of people pass the state driver’s exam on the first try. A group of 50individuals who have taken the driver’s exam is randomly selected. Give two reasons why this is a binomial problem.

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Use the following information to answer the next six exercises: On average, a clothing store gets120 customers per day.

What is the probability that the store will have fewer than 12customers in the first two hours?
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