×
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 14e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 14e

×

# The concentration of particles in a suspension is 30 per

ISBN: 9780073401331 38

## Solution for problem 14E Chapter 4.11

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

4 5 1 249 Reviews
17
1
Problem 14E

Problem 14E

The concentration of particles in a suspension is 30 per ml.

a. What is the probability that a 2 ml sample will contain more than 50 particles?

b. Ten 2 ml samples are drawn. What is the probability that at least 9 of them contain more than 50 particles?

c. One hundred 2 ml samples are drawn. What is the probability that at least 90 of them contain more than 50 particles?

Step-by-Step Solution:

Solution

Step 1 of 4

Let X is the no.of particles in the sample

For one ml the concentration of particles in a suspension is 30

a) Here we have to find the probability that a 2 ml sample will contain more than 50 particles

For 2 ml the concentration of particles in a suspension is 2(30)= 60

Here XPoisson (60)

Now X is approximately normal with

mean(=60 and

Standard deviation()=

=7.75

Step 2 of 4

Step 3 of 4

#### Related chapters

Unlock Textbook Solution