In: Statistics and Probability
The amount of time that people spend at Grover Hot Springs is
normally distributed with a mean of 71 minutes and a standard
deviation of 17 minutes. Suppose one person at the hot springs is
randomly chosen. Let X = the amount of time that person spent at
Grover Hot Springs . Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~
N(Correct,Correct)
b. Find the probability that a randomly selected person at the hot
springs stays longer then 90 minutes.
c. The park service is considering offering a discount for the 7%
of their patrons who spend the least time at the hot springs. What
is the longest amount of time a patron can spend at the hot springs
and still receive the discount? minutes.
d. Find the Inter Quartile Range (IQR) for time spent at the hot
springs.
Q1: minutes
Q3: minutes
IQR: minutes