Question

X and Y are independent random variables. X is normally distributed with mean of 100 and standard deviation of 8. Y is normally distributed with mean 96 and standard deviation 6. For randomly generated values of X and Y, what is the probability that X is greater than Y?

Answer 1

Choices:
A)0.0401
B)0.6554
C)0.8273
D)0.9772
E)1

Answer 2

#2)
Using the above data, the mean µ of X is
a) 2.0
b) 2.3
c) 2.5
d) 3.0
e) The answer cannot be computed from the information given.

Answer 3

this might help

http://stats.stackexchange.com/questions/50501/probability-of-one-random-variable-being-greater-than-another