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

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

answer: 270

step-by-step explanation:

you have to times 200 by 1.35 to get your answer