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
,and sales of skirts will have a mean of 12.6 with a standard deviation of
.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.Then Janet's net income,I,is given by the expression:
I = 80J + 50S - 180
Find an expression for the standard deviation of Janet's net income.Assume that sales are independent of each other.
A)σ = 80 + 50
B)σ =
C)σ =
D)σ =
E)σ = 80 + 50 - 180

Question

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 
,and sales of skirts will have a mean of 12.6 with a standard deviation of 
.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.Then Janet's net income,I,is given by the expression:
I = 80J + 50S - 180
Find an expression for the standard deviation of Janet's net income.Assume that sales are independent of each other.
A)σ = 80 + 50 
B)σ = 
C)σ = 
D)σ = 
E)σ = 80 + 50 - 180

Quizplus · Accepted Answer

The Answer of 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 
,and sales of skirts will have a mean of 12.6 with a standard deviation of 
.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.Then Janet's net income,I,is given by the expression:
I = 80J + 50S - 180
Find an expression for the standard deviation of Janet's net income.Assume that sales are independent of each other.
A)σ = 80 + 50 
B)σ = 
C)σ = 
D)σ = 
E)σ = 80 + 50 - 180

Janet Is Planning to Rent a Booth at a Festival