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APPLYING PROBABILITY DISTRIBUTIONS
Lisa Ayers
Walden University
Professor:Kaplan
STAT 2002
10/21/2023
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APPLYING PROBABILITY DISTRIBUTIONS
The probability of an event is the number of favorable outcomes divided by the total
number of possible outcomes.
1. A midsized company recently divided all employees into four divisions. Division 1
makes up 43% of the company, Division 2 makes up 40%, Division 3 makes up
12%, and Division 4 makes up 5%. Choose one employee at random. Find the
probability for each of the following statements
In the first case, the favorable outcome is the employee belonging to Division 1. The total
number of possible outcomes is the number of employees in the company. Since 43% of
the employees are in Division 1, the probability of the employee belonging to Division 1
is 43%.
In the second case, the favorable outcome is the employee belonging to either Division 2
or Division 3. The total number of possible outcomes is still the number of employees in
the company. Since 40% of the employees are in Division 2 and 12% of the employees
are in Division 3, the probability of the employee belonging to either Division 2 or
Division 3 is 40% + 12% = 52%.
In the third case, the favorable outcome is the employee not belonging to Division 1 or
Division 2. The total number of possible outcomes is still the number of employees in the
company. Since 43% of the employees are in Division 1 and 40% of the employees are in
Division 2, 83% of the employees are in either Division 1 or Division 2.
