2) A company makes the housing for a mechanical component used in lawn mowers. The critical...

2) A company makes the housing for a mechanical component used in lawn mowers. The critical dimension, ?, of the housing is Beta distributed with the following parameters: ? = 12.7 inches; ? = 13.5 inches; ? = 5 and ? = 7. To be acceptable, however, the dimension should be between 12.8 and 13.3 inches.

Determine:

(a) The mean and standard deviation of the dimension.

(b) The probability that a randomly selected housing will be acceptable. (Hint: You can use Microsoft Excel or a similar software for the calculation step)

(c) The company mentioned assumes that the critical dimension is normally distributed with the mean and standard deviation matching the original distribution. What is the probability that a randomly selected housing will be acceptable under this different assumption? Comment on the discrepancy from the previous answer.

Expert Solution

any doubts please ask ! thank you :))

orchestra answered 1 year ago

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