A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After years of commuting she has developed the following probability distribution for the number of red lights she stops at each day on her way to work:

No. of red lightsx012345Probability.05.25.30.20.15.05

Note that the standard deviation of the above probability distribution is SD(X) = 1.27.

Question 1. What is theexpectednumber of red lights at which she will stop on her way to work?

(use 1 decimal place in your answer)

Question 2. Suppose each red light delays the commuter2.1minutes. What is the standard deviation of the number of minutes that she is delayed by red lights?

(use 3 decimal places in your answer)