Mathematics, 30.09.2019 19:00 ridzrana02
The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes. if the student leaves home at 8: 25 a. m., what is the probability that the student will arrive at the college campus later than 9 a. m.?
Answers: 2
. Then, the normal probability density function for the random variable X is given by![f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]](/tpl/images/0277/2104/12b86.png)
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
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