Question

W is a normally distributed random variable with mean 22 and variance 25. The probability that W is less than 9.7 equals:

Answer 1

0.006946

Explanation:

Given that :

W = normally distributed random variable

Mean(m) = 22

Variance = 25 ; standard deviation =√variance ;

Standard deviation (σ) = √25 = 5

Probability that W < 9.7

x = 9.7

Zscore = (x - m) / σ

Zscore = (9.7 - 22) / 5

Zscore = - 12.3 / 5

Zscore = - 2.46

P(Z < - 2.46) = 0.006946