People arrive at the Southpoint Mall at times of a Poisson process with rate 96 per hour. 1/3 of the shoppers are men and 2/3 are women. (a) Women shop for an amount of time that is exponentially distributed with mean 3 hours Men shop for a time that is uniformly distributed on [0, 1] hour. Let (Mt, Wi) be the number of men and women at time t. What is the equilibrium distribution for (Mt, W) (b) Women spend an average of $150 with a standard deviation of $80. Find the mean and variance of the amount of money spent by women who arrived between 9AM and 10AM.

answer: y=4000x+14000

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.