(1 point) Prizes and the chances of winning in a sweepstakes are given in the table below.
Prize Chances
$15,000,000 1 chance in 200,000,000
$250,000 1 chance in 100,000,000
$50,000 1 chance in 10,000,000
$20,000 1 chance in 4,000,000
$900 1 chance in 100,000
A watch valued at $60 1 chance in 9,000
(a) Find the expected value (in dollars) of the amount won by one entry.

(b) Find the expected value (in dollars) if the cost of entering this sweepstakes is the cost of a postage stamp (34 cents)

Explanation:

Part a)

The expected value, E(x) is the sum of product of each outcome by its probability:

$15,000,000 × 1 / 200,000,000 + $250,000 × 1 / 100,000,000 +

+ $50,000 × 1 / 10,000,000 + $20,000 × 1 / 4,000,000 +

+ $900 × 1 / 100,000 + $60  × 1 / 9,000 =

= $0.075 + $0.0025 + $0.005 + $0.005 + $0.009 + $0.00667 = $0.10

Part b)

You have to subtract the cost of the stamp: $0.34

you need to show us the graph.

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.