Production records indicate that 31% of the light bulbs produced in a facility a

Question

Production records indicate that 31% of the light bulbs produced in a facility are defective. A random sample of 35 light bulbs was selected a. Use the binomial distribution to determine theprobaility 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? a. The probability is (Round to four decimal places as needed.) b, The probability is (Round to four decimal places as needed.) c. How do these two probabilities compare? O A. O B. O C. 0 D. The two probabilities have almost the same value The two probabilities are exactly the same. The two probabilities differ greatly. The two probabilities cannot be compared.

Explanation / Answer

a.)

From dinomial distribution

P(X < 3)= 0.906325665866789 =0.9063

b.)

From poisson approximation

P(X < 3)= 0.401163147314632 =0.4012

c.) The two probability differ greatly ( option C)

P(X < 3)= 0.906325665866789 =0.9063

b.)

From poisson approximation

P(X < 3)= 0.401163147314632 =0.4012

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