A (MASTERY Problem) Chapter 4 Review Practice Problems, Problem 32: A box of 100

Question

A

(MASTERY Problem) Chapter 4 Review Practice Problems, Problem 32: A box of 100 computer chips contains eight defective chips. Suppose that a random sample of size 10 chips is selected without replacement from that box. Find the probability that the sample had: (a) (b) (c) (d) No defective chips At least one defective chip All defective chips Nine defective chips. What type of distribution should be used? a) What is the probability of at least one defective chip, P(X 2 1)? b) What is the probability of all defective chips, P(X = 10)? c) what is the probability of nine defective chips, P(X = 9)? d) What is the probability of no (zero) defective chips, PX-0)?

Explanation / Answer

A. Binomial distribution

Using binomial distribution calculator

a) P(X>=1) = 0.5656

b) P(X=10) = < 0.000001

c) P(X=9) = <0.000001

d) P(X=0) = 0.4344

B. Poisson distribution

Using Poisson distribution calculator-

a) P(X < 8) = 0.2202

b) P(X>=4) = 0.9897

c) P(3<= X <= 5) = 0.0530

d) P(X>1) = 0.9995

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