1.The Rockwell hardness X of certain metal pins is known to have a mean of M = 50 and a standard deviation 0 = 4 Assume that the distribution of all such pin hardness measurements is known to be normal. Suppose a pin is randomly selected from the population. What is the probability that the hardness of this pin is less than 46? That is, what is the probability P(X < 46)? Choices: 0.3085 0.0228 0.0 0.01587 0.8413 0.0668

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1.The Rockwell hardness X of certain metal pins is known to have a mean of M = 50 and a standard deviation 0 = 4

Assume that the distribution of all such pin hardness measurements is known to be normal.

Suppose a pin is randomly selected from the population. What is the probability that the hardness of this pin is less than 46? That is, what is the probability P(X < 46)?

Choices:

0.3085

0.0228

0.0

0.01587

0.8413

0.0668

 

2.Assume T is a random variable representing time, with an exponential

distribution and a mean of 21.

Find the probability P(T <= 21).

 

3.The wait times at a clinic are exponentially distributed with a mean wait time

of 40 minutes.

What is the median wait time at the ER?

Choices:

19.45 minutes

40 minutes

44 minutes

27.73 minutes

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