Question

Question: Eleven:

(a) In a sample of 16 observations from a normal distribution with mean 150 and variance of 256. Find the following probabilities

i. Ρ ( Χ ≤160) ii. Ρ ( Χ ≥142)

(b) The age of employees in a company follows a normal distribution with its mean and variance as 40 years and 121 years, respectively. If a random sample of 36 employees is taken from a normal population of size 1000, what is the probability that the sample mean is;

i. less than 45? ii. greater than 42? iii. between 40 and 42?

Answer 1