Use the Following Information for Questions

Multiple Choice

Use the following information for questions:
A large car insurance company is conducting a study on behavior behind the wheel to explain the fact that male drivers (who tend to be thought of as more aggressive drivers) have more accidents, on average, per year, than female drivers. The average number of accidents per year for male drivers is 2.3 with a standard deviation of 0.8 and for female drivers the mean is 1.7 with a standard deviation of 0.6. Independent random samples of 25 male and 20 female drivers are to be selected to take part in the behavior study.
-Suppose we can assume that the number of accidents per year is normally distributed, both for males and for females. What is the probability that the average number of accidents in the sample of 25 male drivers is less than the average number of accidents in the sample of 20 female drivers?

A) < 0.0001
B) 0.0020
C) 0.0207
D) 0.2266