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Chapter 4: Q.64 (page 287)

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鈥�

According to the given situation, we can clearly say that Xfollows the Poisson Distribution with parameter mean (位)is 8 per day and variance (位)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-位xxxx!x=0,1,2,3,4,鈥�鈥�鈥�鈥�..

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Most popular questions from this chapter

In words, the random variableX=_________________

a. the number of times Mrs. Plum鈥檚 cats wake her up each week.

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

c. the number of times Mrs. Plum鈥檚 cats wake her up each night.

d. the number of times Mrs. Plum鈥檚 cats wake her up.

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

What values does Xtake on?

Define the random variable X.

P(x=4)=_______P(x = 4) = _______

Suppose that 20,000 married adults in the United States were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have.

a. Find the probability that a married adult has three children.

b. In words, what does the expected value in this example represent?

c. Find the expected value.

d. Is it more likely that a married adult will have two to three children or four to six children? How do you know?
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