The distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 points and a standard deviation of 4 points.

a) What proportion of the students scored at least 25 points on this test?

(b) What is the 31st percentile of the distribution of test scores?

(c) The teacher wants to transform the test scores so that they have an approximately Normal distribution with a mean of 80 points and a standard deviation of 10 points. To do this, she will use a formula in the form:new score = a + b (old score)Find the values of a and b that the teacher should use to transform the distribution of test scores.