A company ships computer components in boxes that contain 20 items. Assume that

Question

A company ships computer components in boxes that contain 20 items. Assume that the probability of a defective computer component is 0.2. Find the probability that the first defect is found in the seventh component tested. Round your answer to four decimal places. Compare the scores: a score of 220 on a test with a mean of 200 and a standard deviation of 21 and a score of 90 on a test with a mean of 80 and a standard deviation of 8. You cannot determine which score is better from the given information. The two scores are statistically the same. A score of 90 with a mean of 80 and a standard deviation of 8 is better. A score of 220 with a mean of 200 and a standard deviation of 21 is better. A sales firm receives an average of four calls per hour on its toll-free number For any given hour, find the probability that it will receive exactly nine calls. Use the Poisson distribution. The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and standard deviation.

Explanation / Answer

5.

Using the geometric distribution, the probability of first success after x trials is

P(x) = (1-p)^(x-1) p

where p = the probability of success = 0.2.

Hence, the probability that the first success is o the 7th trial is

P(7) = (1-0.2)^(7-1)*0.2 = 0.0524288 [ANSWER]

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