Let X Be a Binomial Random Variable with N =

question 23

Essay

Let X be a binomial random variable with n = 25 and p = 0.01.
a. Use the binomial table to find P(X = 0), P(X = 1), and P(X = 2).
b. Approximate the three probabilities in part (a) using the appropriate Poisson distribution.
c. Compare your approximations in part (b) with the exact probabilities found in part (a). What is your conclusion?

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Definitions:

Interest

The charge for borrowing money or the return on investment in savings accounts or bonds, typically expressed as a percentage.

Living Standard

The degree of prosperity, ease, physical items, and essential needs accessible to an individual, community, or social group.

Per Capita

A statistical measure that divides a total figure by the population number, providing an average per person.

Real GDP

Gross Domestic Product adjusted for inflation, measuring the value of all goods and services produced by an economy in real terms.