Suppose that the random variable X represents the length of a punched part in centimeters. Let Y be the length of the part in millimeters. If and , what are the mean and variance of Y

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

The mean

The variance

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

Hence the expected mean of Y is  

=>    

From the question

So

=>

Gnerally the variance of  X is  

From the question we are told that

=>

Gnerally the variance of Y

=>

=>

=>

=>

=>

2,160 π

step-by-step explanation: