When mice are placed in a certain maze the amount of time it takes them to go through the maze is approximately normally distributed with a mean of 25 minutes and a standard deviation of 5 minutes. What is the probability that a mouse will complete the maze in under 30 minutes? (Hint: find the normal density function first). Enter just a real number rounded off to two decimal places.

Question

Fill in the blank(s) with the appropriate word(s).

Answer 1

.84

f(x) = e^{-1/2[(x - 25)/5]2};
Pr(X ? 30) = 0.5 + A(1) = 0.8413