Oliver is a quality control manager in the electrical switches department of a manufacturing plant.

If Oliver randomly selects 200 switches for a check of a recently produced lot, the probability of selecting exactly 1 defective switch is 0.360, the probability of selecting exactly 2 defective switches is 0.144, the probability of selecting exactly 3 defective switches is 0.038, the probability of selecting exactly 4 defective switches is 0.008, and the probability of selecting exactly 5 defective switches is 0.001.

Let X denote the number of defective switches Oliver selects. Assuming the probability of Oliver selecting 6 or more defective switches is 0, construct the probability distribution of X. Write the probabilities as decimals.

Question

Mathematics

Santos Powell

30 April, 06:48

Oliver is a quality control manager in the electrical switches department of a manufacturing plant.

If Oliver randomly selects 200 switches for a check of a recently produced lot, the probability of selecting exactly 1 defective switch is 0.360, the probability of selecting exactly 2 defective switches is 0.144, the probability of selecting exactly 3 defective switches is 0.038, the probability of selecting exactly 4 defective switches is 0.008, and the probability of selecting exactly 5 defective switches is 0.001.

Let X denote the number of defective switches Oliver selects. Assuming the probability of Oliver selecting 6 or more defective switches is 0, construct the probability distribution of X. Write the probabilities as decimals.

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Answers (1)

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Kiersten Fry · Answer 1

Step-by-step explanation:

If Oliver randomly selects 200 switches for a check of a recently produced lot, the probability of selecting exactly 1 defective switch is 0.360, the probability of selecting exactly 2 defective switches is 0.144, the probability of selecting exactly 3 defective switches is 0.038, the probability of selecting exactly 4 defective switches is 0.008, and the probability of selecting exactly 5 defective switches is 0.001.

X: Number of defective switches that Oliver selects, Assuming the probability of Oliver selecting 6 or more defective switches is 0.

The probability distribution of X is as follows:

X 0 1 2 3 4 5 >6

P (X) 0.449 0.360 0.144 0.038 0.008 0.001 0