Normal distribution

Question 5

It is shown that the age of the employees of this company follows a normal distribution with a mean of 43 years and a standard deviation of 12.5 years. a) What is the probability that an employee is under 32 years of age? b) What is the probability that two randomly selected employees are both under 32 years of age?

Question 6

We want to study the valuation of telework that men employed in a certain company do. It is known, from previous studies, that the evaluation of telework made by the men in this company follows a normal distribution with a mean of 5 and a standard deviation of 2. A sample of 50 men is taken.

c) What is the probability that the mean evaluation of teleworking done by the men employed in this company is greater than 6?