Question

determine whether the statement is true or false.

a probability of \\(\frac{1}{10}\\) indicates an unusual event.

false, because an unusual event occurs with a probability of dropdown

dropdown options:
0.5 or less.
0.05 or less.
0.05 or more.
0.5 or more.

Explanation:

Define the threshold for an unusual event

Using the Probability Range knowledge point
In statistics, an event is typically considered "unusual" or "rare" if its probability of occurring is extremely low. The standard cutoff threshold used in most introductory statistics courses is \(0.05\) (or \(5\%\)). Therefore, an unusual event is defined as one that occurs with a probability of \(0.05\) or less.

Evaluate the given probability

We are given a probability of:

$$ P = \frac{1}{10} = 0.10 $$

Since \(0.10 > 0.05\), this event is not considered unusual.

Complete the statement

The statement "A probability of \(\frac{1}{10}\) indicates an unusual event" is False.
The explanation is that an unusual event occurs with a probability of 0.05 or less.

Answer:

• 0.5 or less.
• 0.05 or less. (Correct answer)
• 0.05 or more.
• 0.5 or more.