Assume the random variable X is normally distributed with me

Assume the random variable X is normally distributed with mean mu = 50 and standard deviation sigma = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X > 37) Which of the following normal curves corresponds to P(X > 37)? P(X > 37)=[ ] (Round to four decimal places as needed.)

Solution

P(X>37) => A

P(X>37) = P( (X-Mean)/Std > (37-Mean)/Std )

= P(Z> 37-50/7)

=P(Z> -1.8571)

=0.9686