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X ~ _____(_____,_____)

Short Answer

Expert verified

The required value isX~P(8).

Step by step solution

01

:Given

Eighteen teens on average dies due to motor vehicle accident every day.

02

:Interpretation

Xis a random variable who represents the no. of teens who die because of motor vehicle injuries. Xcan take any value 0,1,2,3,4…

According to the given situation, we can clearly say that Xfollows the Poisson Distribution with parameter mean (λ)is 8 per day and variance (λ)is also 8 per day. In Poisson distribution Variance is equals to mean.

Poisson distribution occurs when there is not definite no. of trials or occurrence of no. of events in a fixed time interval is fixed.

Probability mass function of Poisson distribution is: P(X=x)=e-λxxxx!x=0,1,2,3,4,…………..

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Most popular questions from this chapter

Use the following information to answer the next six exercises: On average, a clothing store gets 120customers per day.

Assume the event occurs independently in any given day. Define the random variable X.

The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12%. Let X = the number of Afghani women you ask until one says that she is literate.

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b. What is the probability that you ask five women before one says she is literate?

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b. the number of times Mrs. Plum’s cats wake her up each hour.

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Approximately 8%of students at a local high school participate in after-school sports all four years of high school. A group of 60seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of

high school.

a. In words, define the random variable X.

b. List the values that Xmay take on.

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

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e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all

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