Janet is planning to rent a booth at a festival for a day to sell clothes that she has made.She sells jackets for $\$ 80$ and skirts for $\$ 50$ Her past experiences suggests that sales of jackets will have a mean of 6.5 with a standard deviation of 1.4,and sales of skirts will have a mean of 12.6 with a standard deviation of 2.7.The cost of renting the booth for the day is $\$ 180$ Let the random variable J represent the number of jackets that Janet sells and the random variable S represent the number of skirts that Janet sells.Express Janet's net income,I,in terms of J and S.
A)I = 80J + 50S - 180
B)I = 6.5J + 12.6S
C)I = 80J + 50S + 6.5E(J)+ 12.6E(S)
D)I = 6.5J + 12.6S - 180
E)I = 80J + 50S

Question

Quizplus · Accepted Answer

Janet's net income, $I$, is calculated by multiplying the number of jackets sold, $J$, by their price, \$80, plus the number of skirts sold, $S$, by their price, \$50, and then subtracting the booth rental cost, \$180. Thus, $I = 80J + 50S - 180$.

Janet Is Planning to Rent a Booth at a Festival $80\$ 80$80

Janet Is Planning to Rent a Booth at a Festival $\$ 80$