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# A random variable X has a binomial distribution, and a ISBN: 9780073401331 38

## Solution for problem 9E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 9E

A random variable X has a binomial distribution, and a random.variable Y has a Poisson distribution.Both X and Y have means equal to 3 Is it possible to determine which random variable has the larger variance?Chooseone of the following answers:

i. Yes.X has the larger variance.

ii . Yes. Y has the larger variance.

iii. No. we need to know the number of trials, n,for X.

iv, No,we need to knowthe success probability. p,for X.

v. No, weneed to know the valueof λ for Y .

Step-by-Step Solution:

Step 1 of 2</p>

Here X B(n,p)

The mean of the binomial distribution is ‘np’=3

The variance of the binomial distribution is ‘np(1-p)’<3

Because 1-p<0

Step 2 of 2

##### ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 9E from 4.3 chapter was answered, more than 292 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 9E from chapter: 4.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: random, variance, variable, larger, yes. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “A random variable X has a binomial distribution, and a random.variable Y has a Poisson distribution.Both X and Y have means equal to 3 Is it possible to determine which random variable has the larger variance?Chooseone of the following answers:i. Yes.X has the larger variance.________________ii . Yes. Y has the larger variance.________________iii. No. we need to know the number of trials, n,for X.________________iv, No,we need to knowthe success probability. p,for X.________________v. No, weneed to know the valueof ? for Y .” is broken down into a number of easy to follow steps, and 81 words.

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