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Chapter 6: Q. 82 (page 358)

Taking the train Refer to Exercise 80 . Use the binomial probability formula to find P(Y=4). Interpret this value.

Short Answer

Expert verified

On selected days, there's a chance that 4 out of 7 trains will be late 9.84%

Step by step solution

01

Given Information

The total number of trials (n)=6

The likelihood of success ( p) =0.90

The binomial probability is calculated using the following formula:

P(X=r)=Crn×pr×(1-p)n-r

Furthermore,

The number of successes is r in this case.

The number of trials is n.

The chance of success is denoted by p.

02

Simplification

Assume, Ythat is a random variable that follows a binomial distributionn=6and p=0.90.

P(Y=4) can be computed as follows:

=0.0984

As a result, the necessary probability is0.0984.

On selected days, there's a chance that four out of seven trains will arrive late is 9.84%

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Most popular questions from this chapter

How does your web browser get a file from the Internet? Your computer sends a request for the file to a web server, and the web server sends back a response. Let Y=the amount of time (in seconds) after the start of an hour at which a randomly selected request is received by a particular web server. The probability distribution of Ycan be modeled by a uniform density curve on the interval from 0to3600seconds. Define the random variable W=Y/60.

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Let Y denote the number of broken eggs in a randomly selected carton of one dozen “store brand” eggs at a local supermarket. Suppose that the probability distribution of Y is as follows.

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a. What is the probability that at least 10 eggs in a randomly selected carton are unbroken?

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