1/The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard deviation of 15 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(,) b. Find the probability that a randomly selected person at the hot springs stays longer then 64 minutes. c. The park service is considering offering a discount for the 6% 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 2/The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.1 days to recover? d. What is the probability of spending more than 3.3 days in recovery? e. What is the probability of spending between 3.4 and 4.4 days in recovery? f. The 85th percentile for recovery times is days.
1/The amount of time that people spend at Grover Hot Springs is
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected person at the hot springs stays longer then 64 minutes.
c. The park service is considering offering a discount for the 6% 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
Q1: minutes
Q3: minutes
IQR: minutes
2/The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. What is the median recovery time? days
c. What is the Z-score for a patient that took 5.1 days to recover?
d. What is the probability of spending more than 3.3 days in recovery?
e. What is the probability of spending between 3.4 and 4.4 days in recovery?
f. The 85th percentile for recovery times is days.
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