Thread: Standard Deviation

A study of the weights of the brains of Swedish men found that the weight X was a random variable with mean 1400 grams and standard deviation 20 grams. Find positive numbers a and b such that Y = a + bX has mean 0 and a standard deviation 1.

Originally Posted by DINOCALC09

A study of the weights of the brains of Swedish men found that the weight X was a random variable with mean 1400 grams and standard deviation 20 grams. Find positive numbers a and b such that Y = a + bX has mean 0 and a standard deviation 1.

Use the following formulae:

E(Y) = a + b E(X)

Var(Y) = b^2 Var(X)