×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 5e
Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 5e

Already have an account? Login here
×
Reset your password

A data center contains 1000 computer servers. Each server

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 5E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 270 Reviews
14
2
Problem 5E

Problem 5E

A data center contains 1000 computer servers. Each server has probability 0.003 of failing on a given day.

a. What is the probability that exactly two servers fail?

b. What is the probability that fewer than 998 servers function?

c. What is the mean number of servers that fail?

d. What is the standard deviation of the number of servers that fail?

Step-by-Step Solution:

Solution

Step 1 of 5

Here the data centre contains 1000 computer servers

So n=1000

The probability of failing each server is 0.003

So, p=0.003

Let X is no.of servers fail

Here XB(1000,0.003)

Since ‘n’ is large and ‘p’ is small

The Binomial distribution will be converted to poisson distribution

The pmf of poisson distribution is P(X)=, X=0,1,2,..............

 

So, =np

          =1000(0.003)

          =3

Hence XPoisson (3)


Step 2 of 5

Chapter 4.3, Problem 5E is Solved
Step 3 of 5

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

A data center contains 1000 computer servers. Each server