Question

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.53.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 22 and 4.54.5 minutes to find a parking spot in the library lot.

Answer 1

0.7745

Explanation:

Given that the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute.

X, the length of time is N(3.5, 1)

The probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library lot.

=
`P(2<x<4.5)\\=F(4.5)-F(2)` where F represents the cumulative probability upto that value

=

`0.8413-0.0668\\=0.7745`

Answer is 0.7745