Q1) Engineering firm bids on contracts for short-term jobs where each job can make profit of $100,000 for firm. Assume the probabilities of getting zero to five such jobs in certain month are given in the table below:
Number of jobs
|
Probability
|
0
|
0.05
|
1
|
0.15
|
2
|
0.20
|
3
|
0.25
|
4
|
0.20
|
5
|
0.15
|
a) Determine the expected profit during month for a firm.
b) Determine the variance of firm's profit for the month.