Suppose X Is a Normal Random Variable With $\mu = 40$

Multiple Choice

Suppose X is a normal random variable with $\mu = 40$ and $\sigma = 20$ . Find the value of $P ( 30 \leq X \leq 45 )$ . Please, round the answer to four decimal places.

A) $P ( 30 \leq X \leq 45 ) = 0.8549$
B) $P ( 30 \leq X \leq 45 ) = 0.2892$
C) $P ( 30 \leq X \leq 45 ) = 0.7098$
D) $P ( 30 \leq X \leq 45 ) = 0.2902$
E) $P ( 30 \leq X \leq 45 ) = 0.2912$