1.For a manufacturing application, a hollow stainless steel cylinder is to be produced into which another...

1.For a manufacturing application, a hollow stainless steel cylinder is to be produced into which another cylinder is to slide into. For example, this might be a piston in a car engine. Suppose the outer cylinder diameter is normally distributed with mean 25 mm and standard deviation 1.5 mm, and the inner cylinder diameter is normally distributed with mean 24.5 mm and standard deviation 0.5 mm. Find the

1) mean of the difference of the outer cylinder diameter minus the inner cylinder diameter.

2) standard deviation of the difference

3) probability that the difference is greater than 0.1 mm. (This would ensure that the inner cylinder can slide into the outer cylinder.)

2.Suppose X1, X2 and X3 are independent random variables with mean 3.5 and standard deviation 1.5. Find the mean and standard deviation of Y = X1 − X2 + 2X3.

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orchestra answered 1 year ago

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