Question

1. 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 7 minutes and a standard deviation of 1.2 minutes. Find the probability that a randomly selected college student will take at most 5.5 minutes to find a parking spot in the library lot.

Answer 1

Solution :

Given that,

mean = = 7

standard deviation = = 1.2

P(X<5.5 ) = P[(X- ) / < (5.5-7) /1.2 ]

= P(z <-1.25 )

Using z table

=0.1056

probability=0.1056