In a recentyear, the total scores for a certain standardized test were normallydistributed, with a mean of 500 and a standard deviation of 10.4. Answer parts (a)-(d) below.

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 491.

The probability that a randomly selected medical student who took the test had a total score that was less than 491 is

(Round to four decimal places asneeded.)

2) The monthly utility bills in a city are normallydistributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is(a) less than $70, (b) between $87 and $110, and(c) more than $120.

(a) The probability that a randomly selected utility bill is less than $70 is

.

(Round to four decimal places asneeded.)

3)Find thez-score that has 78.5% of thedistribution's area to its right.

Thez-score is

.

1. (Round to two decimal places asneeded.)