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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 9e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 9e

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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? Choose one 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 know the success probability, $$p$$, for$$X$$.

v. No, we need to know the value of $$\lambda$$ for $$Y$$ .

Equation Transcription:

Text Transcription:

X

Y

n

p

lambda

Step-by-Step Solution:

Solution

Step 1 of 2

Here XB(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 404 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? Choose one 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 know the success probability, $$p$$, for$$X$$.v. No, we need to know the value of $$\lambda$$ for $$Y$$ .Equation Transcription:Text Transcription: X Ynplambda” is broken down into a number of easy to follow steps, and 94 words.

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