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The concentration of particles in a suspension is 30 per
Chapter 4, Problem 14E(choose chapter or problem)
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?
Questions & Answers
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