The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.5 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 6 days to recover? d. What is the probability of spending more than 3.1 days in recovery? e. What is the probability of spending between 3.4 and 4 days in recovery? f. The 80th percentile for recovery times is days.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.5 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 6 days to recover? d. What is the probability of spending more than 3.1 days in recovery? e. What is the probability of spending between 3.4 and 4 days in recovery? f. The 80th percentile for recovery times is days.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The average number of words in a romance novel is 64,159 and the standard deviation is 17,401. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(__________ , ___________) b. Find the proportion of all novels that are between 50,238 and 58,939 words. _______________c. The 85th percentile for novels is_____________________ words. (Round to the nearest word)d. The middle 60% of romance novels have from ______________ words to ________________words. (Round to the nearest word)
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with. standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.8 feet tall? e. What is te probability that a randomly selected giraffe will be between 18.8 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.
4
Please complete B & C thank you!
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 17 b. What is the median giraffe height? 17 0.9 ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? f. The 85th percentile for the height of giraffes is e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet tall? ft.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 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 81 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
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 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 57 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
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall?
CHOOSE THE CORRECT ANSWERS BELOW and make sure to show your complete solution. finals answers should be in 4 decimal places.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 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 68 minutes. C. The park service is considering offering a discount for the 4% 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
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?