The Probability Function for the Number of Insurance Policies John

question 36

Essay

The probability function for the number of insurance policies John will sell to a customer is given by
f(X) = .5 - (X/6) for X = 0, 1, or 2
a.Is this a valid probability function? Explain your answer.
b.What is the probability that John will sell exactly 2 policies to a customer?
c.What is the probability that John will sell at least 2 policies to a customer?
d.What is the expected number of policies John will sell?
e.What is the variance of the number of policies John will sell?

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Definitions:

Money Supply

The entire pool of financial assets in an economy, taking into account cash, coins, and all balances in checking and savings accounts, at a certain timeframe.

Recessionary Gap

A situation in economics where aggregate output is below potential output, leading to unemployment and underused resources.

Taxes

Compulsory financial charges or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Fiscal Policy

A government's use of spending and taxation to influence the economy.