Solving this problem using the program R on the computer Let

Solving this problem using the program R on the computer:

Let X ~ N(2, 9). Find a constant c for which

(a) P(X 2)

(b) P(1 X < 7)

(c) P(2.5 X < 1)

Solution

mean=2

sd= sqrt(9)=3

(a)

P(X 2)=0.5

(b) P(X<7) - P(X<1)

(c) P(X<-1) - P(X<-2.5)