The average time a visitor spends at the Renzie Park Art Exh

The average time a visitor spends at the Renzie Park Art Exhibit is 62 minutes. The standard deviation is 12 minutes. If a visitor is selected at random, find the probability that he or she will spend the following amount of time at the exhibit. Assume the variable is normally distributed. Please put in percent form.

a. At least 82 minutes.

b. At most 50 minutes

Solution

X - Average time a visitor spends at the Renzie Park Art Exhibit is N(62, 12)

a) P(X>=82) = P(Z>=1.67)

=0.0475

= 4.75%

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b) P(X<50) = P(Z<-1) =

0.1587

=15.87%