Question

Assume that the random variable X is normally distributed , with mean = 60 and standard deviation sigma = 12 Compute the probability P(x < 75) .

Answer 1

Assume that the random variable X is normally distributed , with mean = 60 and standard deviation sigma = 12 Compute the probability P(x < 75) .​

step 1

Find the z-score

z=(75-60)/12

z=1.25

step 2

Find the probability in the z-score table

so

we have that

For z=1.25

P=0.8944