Suppose that the duration of a particular type of criminal trial is known to be normally distributed with amean of 17 days and a standard deviation of 4 days. Let X be the number of days for a randomly selectedtrial. Round all answers to 4 decimal places where possible.toa. What is the distribution of X? X - N(b. If one of the trials is randomly chosen, find the probability that it lasted at least 14 days.c. If one of the trials is randomly chosen, find the probability that it lasted between 20 and 25 days.d. 65% of all of these types of trials are completed within how many days? (Please enter a whole number)

Answered: Image /qna-images/answer/788a5f2d-3805-486b-98c5-1e58659d46dd.jpg

Answered: Suppose that the duration of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 16 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 79 minutes. c. The park service is considering offering a discount for the 8% 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
Suppose the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818
Use these statements for 8-10. Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of size n=49 are drawn What would be the mean and standard deviation of the distribution?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 88 mph. d. 86% of all cars travel at least how fast on the freeway? mph. Submit Question
The average amount of money spent for lunch per person in the college cafeteria is $6.96 and the standard deviation is $2.49. Suppose that 7 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? ī - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8484 and $6.599. d. For the group of 7 patrons, find the probability that the average lunch cost is between $5.8484 and $6.599. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:
Assume that blood pressure readings are normally distributed with a mean of 125 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 127. Round to four decimal places. O A. 0.9938 O B. 0.0062 O c. 0.8615 O D. 0.9998
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
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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 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 b. Find the probability that a randomly selected person at the hot springs stays longer then 85 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 (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

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