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Exercise 3.3. A salesperson has found the probability of making various numbers of sales per day, given that calls on 10 sales prospects can be made. The said data is presented in the table below. Calculate the average number of sales per day, variance, and the standard deviation of the number of sales. Use the table below to show your solution. Sales per day when 10 prospects are contacted Number of Sales, X 2 3 4 5 6 7 8 Probability, P(X) 0.04 0.15 0.20 0.25 0.19 0.10 0.05 0.02 Exercise 3.4. A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Supposed the company makes a 150 php profit on the sale of any working gadget, but suffers a loss of 4000 php for every faulty gadget because they have to repair the unit, check whether the company can expect a profit in the long term. Post-TestExercise 3.2. Find the variance and standard deviation of the following probability distributions. 1. X P(X) X.P(X) X2 X2 . P(X) 1 N N1 - 00 1 -00 1 - -1 Co A 2 H P(H) H.P(H) H2 H2 . P(H) 0 0.20 0.05 CO 0.40 0.10 7 0.25 3 X P(X) X.P(X) X2 X2 . P(X) -2 IN