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Screws and a standard deviation

Mean (µ ) of 250 screws and a standard deviation (? ) of 8.30.

Find the probability that production will go below 238 screws.

Find the probability that the production will go beyond 270 screws.

What proportion of the production will fall between 230 and 265 screws?

If 80% of the time our construction is X screws or less." What is the figure we use for X?

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## Q : Loan officer rates applicants for credit

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.