Use the scenario below for the following 3 questions.

According to a recent survey by the Pew Research Center, retired executives gave an average of $1200 to their alma mater. The gifts are normally distributed with a standard deviation of $400.

Susan sent out emails to a three random samples of executives and found the following:

n

Sample 1

35

Sample 2

30

Sample 3

34

19.What is the probability that sample mean 1 will be less than $1259?

a.0.1912

b.0.5586

c.0.8078*

d.0.8726