This part consists of 7 short-answer questions. The number of points awarded per question will be indicated to you as you go along. Instructions: Answer in the space provided. The following scenario will allow you to answer questions 11 to 17. A convenience store prepared 60 very popular sandwiches for its customers for the week's sales. The demand for these sandwiches is a random variable denoted by . Suppose the probability distribution of looks like this:

= Request for sandwiches (in units)	0	40	60	80	100
Probability	0,10	0,20	0,40	0,20	0,10

What is the expectation of ?

What is the variance of ?

What is the standard deviation of ?

What is the probability that the demand is strictly greater than the quantity of sandwiches prepared?

Each sandwich is sold at a price of $3 while its cost is estimated at $2.25. Complete the table below by replacing the letters a-b-c-d-e with the amount of profit corresponding to each possible value of the request (put a negative value in the case of a loss)

= Request for sandwiches (in units)	0	40	60	80	100
Probability	0,10	0,20	0,40	0,20	0,10
= Profit (in dollars)

What is the convenience store's expected profit from selling the sandwiches this week?

What is the probability that the convenience store will make a loss this week (find (<0) )