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A manufacturing plant produces steel rods, which follow a Gaussian distribution with a mean of 45 centimeters and a standard deviation of 5...

A manufacturing plant produces steel rods, which follow a Gaussian distribution with a mean of 45 centimeters and a standard deviation of 5 centimeters. A random sample of 15 bills was taken. Find the probability that the sample standard deviation will be less than 6.5 cm. and The probability is 2.5% that the sample standard deviation will be less than what number?

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