The time that it takes a student to walk from his dorm room to his math classroom has an approximate normal distribution with a mean of 8 minutes and a standard deviation of 0.4 minutes. What is the Probability that the student will take between 8.0 and 9.2 minutes to walk to class? Give your answer As a percentage.
A) 0.3%
B) 2.5%
C) 49.85%
D) 34%
E) None of the above.

Question

Quizplus · Accepted Answer

The probability that the student will take between 8.0 and 9.2 minutes to walk to class can be calculated using the normal distribution formula:P(8.0 < X < 9.2) = P(Z < (9.2 - 8) / 0.4) - P(Z < (8.0 - 8) / 0.4)= P(Z < 3) - P(Z < 0)= 0.9987 - 0.5= 0.4987Therefore, the probability that the student will take between 8.0 and 9.2 minutes to walk to class is 0.4987, or 49.85%.

The Time That It Takes a Student to Walk from His