A set of 750 values has a normal distribution with a mean of 12.5 and a standard deviation of 0.36.

Question

A. What percent of the data is between 12.25 and 12.75?
ANSWER: 51.6%

B. Find the interval about the mean within wich 45% of the data lie.
ANSWER: 12.28-12.72

C. Find the probability of that a value selected at random from this data is between 11.67 and 13.33.
ANSWER: 97.9%

Are these correct?

Answer 1

Yes, they are correct.
I find minor differences in the last digits, probably due to round-off or interpolation errors.