Mr. Gupta gave his students a quiz with three questions on it. Let XXX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of XXX along with summary statistics:
X=# correctX 0 1 2 3
P(X) .05 .20 0.50 .25
Mean:μx =1.95
Standard Deviation σX≈0.8
What are the mean and standard deviation of Y?