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The concentration of particles in a suspension is 50 per

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

Solution for problem 15E Chapter 4.11

Statistics for Engineers and Scientists | 4th Edition

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

Statistics for Engineers and Scientists | 4th Edition

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Problem 15E

The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn.

a. What is the probability that the number of particles withdrawn will be between 235 and 265?

b. What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52?

c. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52?

d. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?

Step-by-Step Solution:

Solution

Step 1 of 8

Let X is the no.of particles in the sample

For one ml the concentration of particles in a suspension is 50

For 5 ml the concentration of particles in a suspension is 5(50)= 250

a)  Here we have to find the probability that no. of particles will be between 235 to 265

Here XPoisson(250)

Now X is approximately normal with

mean(=250 and

Standard deviation()=

                                    =15.81


Step 2 of 8

Chapter 4.11, Problem 15E is Solved
Step 3 of 8

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

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