A bank accepts rolls of pennies and gives 50 cents credit to a customer without counting the contents. Assume that a roll contains 49 pennies 30 percent of the time, 50 pennies 60 percent of the time, and 51 pennies 10 percent of the time.

(a) Find the expected value and the variance for the amount that the bank loses on a typical roll.
(b) Estimate the probability that the bank will lose at least 25 cents in 100 rolls.
(c) Estimate the probability that the bank will lose any money in 100 rolls.
(d) How many rolls does the bank need to collect to have a 99 percent chance of a net loss?

a) The expected value and the variance for the amount that the bank loses on a typical roll is 0.36

b) The probability that the bank will lose at least 25 cents in 100 rolls is 0.2033

c) The probability that the bank will lose any money in 100 rolls is 0.9995

d) The rolls bank need to collect to have a 99 percent chance of a net loss are 50 rolls.

Step-by-step explanation:

Detailed steps are attached below

the answer is simply just 6n add the two together as they have an n

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier