A car dealership has lowered its prices on last year’s models in order to clear its holdover inventory. With prices slashed, a young and aggressive salesman estimates the probability distribution of X, the total number of cars he’ll sell in the next week (see Table 5.11). Table 5.11: Data set X 0 1 2 3 4 p(x) 0.05 0.15 0.35 0.25 0.20 Let X be the total number of cars sold in the next week Calculate a) The average number of cars that the salesman sold during the week (rounded off to one decimals). b) The variance rounded off to two decimals). c) The standard deviation that the salesman sold during the week (rounded off to four decimals

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2. A car dealership has lowered its prices on last year’s models in order to clear its holdover inventory.
With prices slashed, a young and aggressive salesman estimates the probability distribution of X, the total
number of cars he’ll sell in the next week (see Table 5.11).
Table 5.11: Data set

X 0 1 2 3 4
p(x) 0.05 0.15 0.35 0.25 0.20


Let X be the total number of cars sold in the next week
Calculate
a) The average number of cars that the salesman sold during the week (rounded off to one decimals).
b) The variance rounded off to two decimals).
c) The standard deviation that the salesman sold during the week (rounded off to four decimals

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