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Chapter 4: Q.65 (page 287)

What values does X take on?

Short Answer

Expert verified

Xcan take any positive integer value from zero to positive perpetuity.
X=0,1,2,3,4,鈥�鈥�

Step by step solution

01

:Given

Eighteen teens on mean dies due to engine instrument casualty every day.

02

Explanation

Xis a arbitrary 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 easily say that X
follows the Poisson Distribution with parameter mean (位)is 8 per day and friction(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 n鈫�鈭�and circumstance of no. of events in a fixed time interval is fixed.

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

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Most popular questions from this chapter

The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate in Afghanistan is 28.1%. Suppose you choose 15 people in Afghanistan at random. Let X = the number of people who are literate.

a. Sketch a graph of the probability distribution of X.

b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

c. Find the probability that more than five people in the sample are literate. Is it is more likely that three people or four people are literate.

What does the column 鈥�P(x)鈥� sum to?

Use the following information to answer the next six exercises: A baker is deciding how many batches of muffins to make to

sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established

a probability distribution.

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.

Find the probability that her cats will wake her up no more than five times next week.

a.0.5000b.0.9329c.0.0378d.0.0671

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

What is the standard deviation(蟽)?
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