8 Find the expected value show your work 10 points X 25 3 15

8. Find the expected value; show your work (10 points);

X

25

-3

15

11

20

P(X)

.30

.28

.25

.09

.08

10. The probability of a machine producing a defective product is .08. Find the probability that, in a run of 200 products, there are exactly 12 defective products (15 points).

11. A combination lock can be set to open with any 5-letter sequence (5 points each)

How many sequences are possible?

How many sequences are possible if no letter is repeated?

Solution

8.

Consider:

Thus,

E(x) = Sum(x P(x)) = 13 [ANSWER]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!