The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68minutes 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 placeswhere 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 83 minutes.c. The park service is considering offering a discount for the 4% of their patrons who spend the least timeat the hot springs. What is the longest amount of time a patron can spend at the hot springs and stillreceive the discount?minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1:minutesQ3:minutesIQR:minutes

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Answered: The amount of time that people spend at…

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...

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Test scores for a Statistics class have a mean of 81 with a standard deviation of 4. Test scores for a calculus class had a mean of 75 with a standard deviation of 3.5. Suppose a student gets an 87 on the statistics test andan 86 on the calculus test. Calculate the z-scores for each test. On which test did the student perform better relative to the other students in the class.
Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 545 and a standard deviation of 112 . If 16 men are randomly selected, find the probability that their mean score is at least 590. a. Define the parameter A. x overbar equals The mean score of 16 randomly selected men B. x overbar equals The score of a randomly selected man b. State the mean of x overbar : nothing c. State the standard deviation of x overbar : nothing (use 2 decimal places) d. Find the z-score: nothing (use 2 decimal places) e. Find the probability: nothing (use 4 decimal places)
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P30, the 30-percentile. This is the temperature reading separating the bottom 30% from the top 70%.P30 = °C(Round answer to three decimal places)
The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability that, before the low-fuel light comes on, the car will travel between 328 and 348 miles on the next tank of gas? 36 miles. Complete parts a through d below. (Round to four decimal places as needed.
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... 90 A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the left half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 90. Question content area bottom Part 1 The area of the shaded region is enter your response here. (Round to four decimal places as needed.)
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 O B. 0.8989 O C. 0.2881 O D. 0.9918 Next View Instructor Tip Calculator 809 PM 70°F Cloudy 10/8/2021 33 2 Type here to search 10/05/17 PrtSc Insert Delete AI F9 F10 F11 F12 F7 F8 F5 F6 Esc F3 F4 F1 & Backspace Num Lock C@ %23 5 7 080 3 T. Y కాం Home C Tab H. K Enter G A CapsLk 1 Shift C V N End hift PgUp Alt Ctrl End + |/ A MI 小 44
The mean time taken by all participants to run a road race was found to be 110 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140 minutes. Round your answer to the nearest integer. of
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 %3D
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Find the indicated IQ score. The graph to the right depicts IQ scores standard deviation of 15. of adults, and those scores are normally distributed with a mean of 100 and a Click to view page 1 of the table. Click to view page 2 of the table. 0.7 The indicated IQ score, (Round to one decimal place as needed.) is X, nter ucces ? ia Lib Enter your answer in the answer box and then click Check Answer Check Answer Clear All 4:17 PM All parts showing 12/2/201 Optio N pe here to search insert 61 44 f8 |+ 7 16 4 7
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C(Round answer to three decimal places)

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