The concentration of particles in a suspension is 30 per

Chapter 4, Problem 14E

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QUESTION:

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?

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QUESTION:

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?

ANSWER:

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


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