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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Suppose that 2% of the computer chips shipped to an assembly plant are defective.

(a) What is the probability that 10 of 100 chips chosen from the shipment will be defective?

(b) What is the expected number of defective chips in the shipment if it contains 1500 chips?

(a)

To determine

To calculate: The probability that 10 of 100 chips chosen from the shipment will be defective, if 2% of the computer chips shipped to an assembly plants are defective.

Explanation

Given Information:

The percentage of the defective computer chips shipped to an assembly plant is 2%.

Formula used:

The compliment of a probability p is,

q=1p

Where, p is a probability of success, q is a probability of not success.

The binomial distribution probability of x success in n trials is,

Pr(x)=Cnxpxqnx

Where, p is a probability of success, q is a probability of not success, n is the number of independent trials and r is desired success.

Calculation:

Consider there are 1500 defective chips.

n=100

The probability of defective chips is 0.02.

p=0.02

Use the formula for the compliment of probability p,

q=1p

Substitute 0.02 for p.

q=10.02=0

(a)

To determine

To calculate: The expected number of defected chips in the shipment of 1500 chips, if 2% of the computer chips shipped to an assembly plants are defective.

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