Question

Luisa is a manager at a pet insurance company with many customers. Sixty percent of the company’s customers filed claims in the past year. Luisa will randomly select customers from all the company’s customers. Assuming the customers selected are independent of each other, which of the following is closest to the probability that mor...

Options:
a. Less than 60%
b. 60%
c. More than 60%
d. Not enough information to determine

Answer 1

To find the probability of guessing more than 75 percent of the questions correctly on a 32-question multiple choice exam where each question has three possible choices, you need to calculate the probability of guessing exactly 75 percent correctly and subtract it from 1.

Step-by-step explanation:

To find the probability that the student guesses more than 75 percent of the questions correctly, we need to calculate the probability of guessing exactly 75 percent correctly and subtract it from 1.

Since each question has three possible choices, the probability of guessing a question correctly by random chance is 1/3.

Therefore, the probability of guessing exactly 75 percent correctly is (1/3)24 * (2/3)8 * C(32, 24) where C(32, 24) represents the number of ways to choose 24 correct answers out of 32 questions. Subtracting this probability from 1 will give us the probability of guessing more than 75 percent correctly.

Answer 2

The closest option is: c. More than 60%

The probability that more than 60% of randomly selected customers have filed claims in the past year depends on the specific distribution of customers who filed claims.

If exactly 60% of the customers have filed claims, selecting additional customers would not change the proportion.

However, if more than 60% have filed claims, selecting additional customers would likely increase the proportion.

Therefore, the closest option is: c. More than 60%