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...

See similar textbooks

Similar questions

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.
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 mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 12 5 or or b. Find the probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it. Hint: c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 108. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
A normal population has a mean of 61 and a standard deviation of 22. You select a random sample of 35. Use Appendix. for the values Compute the probability that the sample mean is (Round the final answers to 4 decimal places.) a. Greater than 64 Probability b. Less than 57. Probability c. Between 57 and 64. Probability
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 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
please show steps for C. D. & E. thank you.
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
D,E, and F

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS