The following probability distribution represents the payout for a game. Suppose $2 is added to all the payouts. How would the mean and standard deviation change from those of the original distribution? 

A. They both would increase by $2. 

B. The mean would increase by $2, but the standard deviation would stay the same. 

C. The standard deviation would increase by $2, but the mean would stay the same. 

D. They both would stay the same. 

E. The mean would increase by $2, and the standard deviation would increase by the square of $2

Transcribed Image Text:

x = payout p(x) $0 15/25 6/25 3/25 $3 $5 $10 1/25