47°FCloudy2WSxSuppose that the duration of a particular type of criminal trial is known to be normally distributed with amean of 16 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.a. What is the distribution of X? X-N 16#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 17 and 20 days.3Question Help: Written Example Message instructorJump to AnswerNOESubmit Question14101$4RFts%▬5C|VQ SearchTAG64Y&7*D008H JB N(9no 11KMOA4{

We have given that Mean(µ) = 16Standard deviations (σ) = 4X ~ N (µ, σ )= N(16,4)

Answered: Suppose that the duration of a…

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 78 and 81 mph. d. 60% of all cars travel at least how fast on the freeway? mph.
a) You want to obtain a sample to estimate the average number of hours per week community college students in the United States work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 8. You would like to be 95% confident that your estimate is within 3 hours of the true population mean. Assume that the number of statistics students is unknown, but very large. How large of a sample size is required? b) You want to obtain a sample to estimate the average number of hours per week ACM students work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 8. You would like to be 95% confident that your estimate is within 3 hours of the true population mean. Assume that the number of students at ACM is 1500 students. How large of a sample size is required? c) You want to obtain a sample to estimate the average number of hours per week ACM Statistic…
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 18 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.a. If one of the trials is randomly chosen, find the probability that it lasted at least 15 days. b. If one of the trials is randomly chosen, find the probability that it lasted between 19 and 24 days. c. 73% of all of these types of trials are completed within how many days? (Please enter a whole number)
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