Question

You roll a die, winning nothing if the number of spots is odd, $1 for a 2 or a 4, and $9 for a 6.

Round your answers to 3 decimal places (a) Find the expected value and standard deviation of your prospective winnings.
The expected value is , the standard deviation is
(b) You play twice. Find the mean of your total winnings.

The mean is

Answer 1

(a) The expected value is 2.333 and the standard deviation is 3.399.
(b) The mean of your total winnings is 4.666.