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A Corporation Has 15,000 Employees

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A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than
$30,000 a year.
a. If an employee is taken at random, what is the probability that the employee is male?
b. If an employee is taken at random, what is the probability that the employee earns more than
$30,000 a year?
c. If an employee is taken at random, what is the probability that the employee is male and earns more than $30,000 a year?
d. If an employee is taken at random, what is the probability that the employee is male or earns more than $30,000 a year?
e. The employee taken at random turns out to be male. Compute the probability that he earns more than $30,000 a year.
f. Are being male and earning more than $30,000 a year independent?


Definitions:

Double Modifiers

The use of two adjectives or adverbial elements side by side to modify the same noun or verb, often to enhance the descriptive quality.

Awkward References

Inappropriate or out-of-place mentions or citations in a conversation or piece of writing.

Long Words

Words that are notably longer than average, often making written content more difficult to read or understand.

Sentence Structures

The arrangement of words, phrases, and clauses in a sentence to convey meaning effectively.

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