Question

Suppose that yield level, represented by Y, in a randomly selected farm is normally distributed with a mean level of 70ppm (parts per million) and standard deviation of 13 ppm.
a) What is probability that randomly selected field will have yield level less than 60ppm? [2] b) What is the probability yield level being greater than 90 ppm? [2] c) What is the probability yield level will be between 65-95 ppm? [3] d) Find the value of y such that P (Y > y) = 40%. [3]

Question 2:
Given the following values of income and consumption
X 20 11 15 10 17 19
Y 5 15 14 17 8 9

a) Find the covariance [3] b) Find and explain the correlation [2] c) Determine the equation of least squares line [3] d) Find predicted values of Y for X = 16 & 25

Answer 1