Question

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 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.

a. 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 18 days. 

c. If one of the trials is randomly chosen, find the probability that it lasted between 22 and 26 days. 

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Not helpful? See similar books
MATLAB: An Introduction with Applications
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with…

A: If the distribution pattern of a given data set is normal, one can empirically determine the…

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Given: Let us define the random variable X as the monthly income of employees in firm A. Mean = μ =…

Q: Assume that​ women's heights are normally distributed with a mean given by μ=62.3 in​, and a…

A: Given information- We have given that women's heights are normally distributed. Population mean,…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given: μ=0σ=1 The probability of obtaining a reading between -1.582°C and -0.232°C is obtained as…

Q: Assume that women's heights are normally distributed with a mean given by u = 64. 1 in. , and a…

A: Click to see the answer

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Solution: Let X be the monthly income of employee in Firm A. From the given information, X follows…

Q: Assume that​ women's heights are normally distributed with a mean given by μ=63.5 in​,and a standard…

A: Given data,μ=63.5σ=2.3

Q: Suppose that prices of a certain model of new homes are normally distributed with a mean of…

A: a. Empirical rule: The probability that the observation under the normal curve lies within 1…

Q: Let x denote the time taken to run a road race. Supposex is approximately normally distributed with…

A: Ans: Given,   X ~ N(μ, σ)        Where  μ  = 190 minutes   and σ  = 21 minutes        Find  P( 219…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Solution-: Let, X= The readings at freezing on a bundle of thermometers  Given: μ=00C,σ=10C ∴X→…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: To find: P(−0.073<Z<0.457)

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Click to see the answer

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Let's assume X = the readings at freezing on a bundle of thermometers As given, it is normally…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Click to see the answer

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: GivenMean(μ)=0standard deviation(σ)=1.0

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given that Z follows a normal distribution with mean=0 and standard deviation=1.00 This means Z is a…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: We have to find given probability...

Q: Suppose that the average and standard deviation of the number of points scored in an NBA game per…

A: Given Mean=18.51 Standard deviation=6.71

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given that the readings at freezing on a bundle of thermometers are normally distributed with a mean…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: Assume that the amount of weight that male college students gain during their freshman year are…

A: NNote: this probability value calculated from standard normal distribution table

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given data: Mean =19 Standard deviation  = 6 X be the number of days for a randomly selected trial

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given information- We have given that the duration of a criminal trial is normally distributed.…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given data isMean(μ)=0standard deviation(σ)=1

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given Data Population Mean,μ = 19.0 Population Standard Deviation,σ = 6.0

Q: Assume that the thermometer readings are normally distributed with a mean of 00C and a standard…

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: he PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: Assume that women's weights are normally distributed with a mean given by μ=143lb and a standard…

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Click to see the answer

Q: . Assume the heights of students at Champlain College are normally distributed with a mean of 64.0…

A: Click to see the answer

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given that batch of thermometers are normally distributed with a mean of 0oc and a standard…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: From the given information, let X be the number of days for a randomly selected criminal trial. Mean…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Click to see the answer

Q: Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02…

A: a) The probability that the weight of a bag will be less than the maximum allowable weight of 50…

Q: Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02…

A: Hello! As you have posted 4 sub parts, we are answering the first 3 sub-parts.  In case you require…

Q: Suppose that the mean hourly wage of all employees in a large semiconductor manufacturing facility…

A: Given that, Mean = 50 Standard deviation = 10 Sample size = 64

Q: Assume that the heights of men are normally distributed with a mean of 70.9 inches and a standard…

A: We have to find given probability for mean greater than 71.9 inches.....

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: Assume that women's weights are normally distributed with a mean given by u = 143 Ib and a standard…

A: The provided information are: Population mean (µ) =143 Population standard deviation (σ) = 29…

Q: From a sample with n=20, the mean number of televisions per household is 4 with a standard deviation…

A: From a sample with n=20, the mean number of televisions per household is 4 with a standard deviation…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
  • Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
    Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman