.stats probability

Question

. The ages of workers in the Illuminex plant are approximately normally distributed with a mean of 48 years and a standard deviation of 7 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this worker is less than 32 old?

Answer 1

Not my strong suit, but I think z = (x - μ)/σ

 

so that would be (32 - 48)/7   = -2.29

 

The negative z-table suggests a probability for -2.29 of 0.0110