Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places unless instructed otherwise. 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. 90% of all of these types of trials are completed within how many days? (Please enter a whole number)

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places unless instructed otherwise. 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. 90% of all of these types of trials are completed within how many days? (Please enter a whole number)

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

should be 4 decimal places
a survey of cars on a certain stretch of highway during morning commute showed that 70% had only 1 occupant, 15% had 2, 10% had 3, 3% had 4 and 2% had 5. Let X be the number of occupants in a randomly chosen car. a. Find the PMF of Xb. Find P(X </=2)c. Find P(X>3) Find the mean and std Deviation
Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 18. What is the minimum score needed to be in the top 10% of the scores on the test? Carry your intermedlate computations to.at least four decimal places, and round your answer to one decimal place. Continue ace esc & # 24 @ 7 4 2 t y r e
Suppose that the weight of seedless watermelons is normally distributed with mean 6.2 kg. and standard deviation 1.5 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to two decimal places. A. X ~ N( , ) B. What is the median seedless watermelon weight? kg. C. What is the Z-score for a seedless watermelon weighing 8 kg? D. What is the probability that a randomly selected watermelon will weigh more than 7 kg? E. What is the probability that a randomly selected seedless watermelon will weigh between 4 and 5 kg? F. The 80th percentile for the weight of seedless watermelons is kg.
Suppose that scores on a particular test are normally distributed with a mean of 120 and a standard deviation of 17. What is the minimum score needed to be in the top 5% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place. X 4
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X N( b. Find the probability that a randomly selected fat calorie percent is more than 40. c. Find the minimum number for the lower quarter of percent of fat calories.
The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 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 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question
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. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 46.73% from the rest? That is, if P(z > c) = 0.4673, find c. c = °C
Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 20 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.8 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that fawn will weigh exactly 2.4 kg is P(x = 2.4) = The probability that a newborn fawn will be weigh between 2.9 and 3.7 is P(2.9 < x < 3.7) = The probability that a newborn fawn will be weigh more than 2.72 is P(x > 2.72) = P(x > 2.8 | x < 3.5) = Find the 25th percentile.