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.

Respuesta :

Answer:

0.7745

Step-by-step 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.

= [tex]P(2<x<4.5)\\=F(4.5)-F(2)[/tex] where F represents the cumulative probability upto that value

=

[tex]0.8413-0.0668\\=0.7745[/tex]

Answer is 0.7745