In a Large Corporation, 65% of the Employees Are Male

question 58

Short Answer

In a large corporation, 65% of the employees are male. A random sample of five employees is selected. Use the Binomial probability tables to answer the following questions.
a.What is the probability that the sample contains exactly three male employees?
b.What is the probability that the sample contains no male employees?
c.What is the probability that the sample contains more than three female employees?
d.What is the expected number of female employees in the sample?

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Definitions:

Radical Equation

An equation that features a variable contained within a radical symbol or square root.

Imaginary Unit

A mathematical concept represented by \(i\), used to describe the square root of -1, fundamental in complex number theory.

Standard Form

In mathematics, standard form can refer to a way of writing numbers using the digits 0-9, with each digit having a place value. In the context of linear equations, it refers to Ax + By = C, where A, B, and C are integers.

Complex Numbers

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i^2 = -1.