Question

use the accompanying bar graph and probability table, which shows the highest level of education received by employees of a company, to find if any of the events can be considered unusual. explain.

choose the correct answer below.

a. yes, because at least one event has a probability less than or equal to 5%.
b. no, because no event has a probability less than or equal to 1%.
c. no, because no event has a probability less than or equal to 5%.
d. yes, because at least one event has a probability less than or equal to 10%.

Explanation:

Step1: Recall the definition of an unusual event

An event is considered unusual if its probability is less than or equal to \(5\%\) (or \(0.05\)).

Step2: Check the probabilities in the table

Looking at the probability table:

• Doctoral: \(P = 0.02\) (which is \(2\%\))
• Master’s: \(P=0.29\) (which is \(29\%\))
• Bachelor’s: \(P = 0.38\) (which is \(38\%\))
• Associate’s: \(P=0.25\) (which is \(25\%\))
• High - School diploma: \(P = 0.05\) (which is \(5\%\))
• Other: \(P=0.01\) (which is \(1\%\))

Since there are events (Doctoral (\(P = 0.02\)), High - School diploma (\(P=0.05\)), and Other (\(P = 0.01\)) ) with probabilities less than or equal to \(5\%\)

Answer:

A. Yes, because at least one event has a probability less than or equal to \(5\%\)