Suppose that the random variable X denotes temperature on th

Suppose that the random variable X denotes temperature on the Celsius scale and that the random variable Y denotes temperatures on the Fahrenheit scale. We know that Y = (9/5)X + 32.0

a) If daily temperatures during September follow a distribution with a mean of 15 degrees
Celsius and a standard deviation of 5 degrees Celsius, what is the mean and the standard
deviation of the temperature on the Fahrenheit scale?
b) By working out and showing the relevant components of the calculation, compute the
correlation coefcient between X and Y .

Solution