Acompany receives shipments from two factories. depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order 3 boxes for a large order the company has two different suppliers. factory q is 60 miles from the company factory r is 180 miles from the company an experiment consists of monitoring a shipment and observing b, the number of boxes, and m, the number of miles the shipment travels. the following probabi ity model describes the experiment factory q factory r small order medium order large order 0.3 0.1 0.1 0.2 0.2 0.1 (a) find pb m(b, m), the joint pmf of the number of boxes and the distance (b) what is e[b], the expected number of boxes? (c) are b and m independent?

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages