Given a Binomial Random Variable with N =15 and P $\geq$

question 16

Essay

Given a binomial random variable with n =15 and p = 0.40, find the exact probabilities of the following events and their normal approximations.
a. X = 6.
b. X $\geq$ 9.
c. X $\leq$ 10.

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Definitions:

Gasoline

A volatile, flammable liquid made from crude oil or petroleum, used primarily as fuel in internal combustion engines.

Branched Alkane

Hydrocarbons featuring a tree-like structure, where carbon chains deviate from a straight chain due to side chains.

London Force

Weak, temporary van der Waals forces arising from the instantaneous polarization of molecules due to the movement of electrons.

Boiling Point

The temperature at which a liquid changes to a gas at a given pressure, characteristic for each specific substance.