Question

josie believes that her mom calls her at the most inconvenient times. as a matter of fact, josie thinks that 80% of the times that her mom calls, she is busy doing important tasks such as schoolwork, driving, or feeding the family pets.

which is the best interpretation of this probability?

• if josie is doing 10 important tasks in one day, her mom will call during 8 of those tasks.
• josie has an 80% chance of completing her important tasks without her mom calling her.
• josies mom is calling her 80% of the day.
• over the course of many weeks, about 80% of the calls from josies mom will come when she is busy doing important tasks.

Explanation:

Analyze the given probability statement

$$ P(\text{Call} \mid \text{Busy}) = 0.80 $$

Evaluate the options based on the frequentist interpretation of probability

$$
LATEXBLOCK0
$$

Select the best interpretation

$$ \text{Selected Option: Over the course of many weeks, about } 80\% \text{ of the calls from Josie's mom will come when she is busy doing important tasks.} $$

Answer:

• If Josie is doing 10 important tasks in one day, her mom will call during 8 of those tasks.
• Josie has an 80% chance of completing her important tasks without her mom calling her.
• Josie's mom is calling her 80% of the day.
• Over the course of many weeks, about 80% of the calls from Josie's mom will come when she is busy doing important tasks. (Correct answer)