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?

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step-by-step explanation:

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step-by-step explanation:

c. 6tan80

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)