Use the below formula X = [A + 20', 3. Scores for the California Peace Officer Standards and Training test are normally distributed, with a mean of 50 and a standard deviation of 10. An agency will only hire applicants with scores in the top 5%. What is the lowest score an applicant can earn and still be eligible to be hired by the agency? 4. The lengths of time employees have worked at a corporation are normally distributed, with a mean of 11.2 years and a standard deviation of 2.1 years. In a company cutback, the lowest 10% in seniority are laid 011'. What is the maximum length of time an employee could have worked and still be laid o? List all possible samples of size n =3, with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance and standard deviation of the sample means. Compare your result with the mean in = 3, Variance 02 = SIB, and standard deviation 0 = 48/3 2. Find X, here X is normally distributed, with a mean 9 and standard deviation 2. A) Z= -0.5 (1 point) B) Z= 0 (1 point) C) Z= 1.96 (1 point) Hint: Read Example 3 on page number 254 Use the below formula X=u+Zm