A Government Agency Has 6,000 Employees A What Is the Probability That a Randomly Selected Employee

question 62

Short Answer

A government agency has 6,000 employees. The employees were asked whether they preferred a four-day work week 10 hours per day), a five-day work week 8 hours per day), or flexible hours. You are given information on the employees' responses broken down by sex.
$\begin{array}{l|rr|r} & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Four days } & 300 & 600 & 900 \\\text { Five days } & 1,200 & 1,500 & 2,700\\\text { Flexible } & 300 & 2,100 & 2,400 \\\hline \text { Total } & 1,800 & 4,200 & 6,000\end{array}$
a. What is the probability that a randomly selected employee is a man and is in favor of a four-day work week?
b. What is the probability that a randomly selected employee is female?
c. A randomly selected employee turns out to be female. Compute the probability that she is in favor of flexible hours.
d. What percentage of employees is in favor of a five-day work week?
e. Given that a person is in favor of flexible time, what is the probability that the person is female?
f. What percentage of employees is male and in favor of a five-day work week?

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Definitions:

Inducers

Substances that increase the rate of enzyme activity or gene expression.

Missense Mutation

A type of genetic mutation where a single nucleotide change results in the coding of a different amino acid, potentially altering protein function.

Lac Operon

The lac operon is a segment of DNA found in bacteria that consists of genes necessary for metabolizing lactose, serving as a classic example of gene regulation.

Repressor Protein

A protein that binds to specific DNA sequences, preventing the transcription of genetic information from DNA to mRNA.