Question

In: Statistics and Probability

Production records indicate that 1.6​% of the light bulbs produced in a facility are defective. A...

Production records indicate that 1.6​% of the light bulbs produced in a facility are defective. A random sample of 20 light bulbs was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found. b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found. c. How do these two probabilities​ compare?

Solutions

Expert Solution

a.

b.

c.

As in b part we use Poisson approximation.

Both probabilities are approximately same.

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