According to the bureau of labor statistics it takes an average of 16 weeks for young workers to find a new job. assume that the probability distribution is normal and that the standard deviation is two weeks. what is the probability that 20 young workers average less than 15 weeks to find a job? a. 0.0127 b. 0.0225 c. 0.0450 d. 0.0375

Option A) 0.0127  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16 weeks

Standard Deviation, σ = 2 weeks

Sample size = 20

We are given that the distribution of time taken to find a job is a bell shaped distribution that is a normal distribution.

Formula:  

P(20 young workers average less than 15 weeks)  

P(x < 15)  

Calculation the value from standard normal z table, we have,  

Thus, 0.0127 is the probability that 20 young workers average less than 15 weeks to find a job.

do your own work and don"t cheat.

step-by-step explanation: