Answered: Suppose that X has a lognormal…

Suppose that X has a lognormal distribution with parameters θ = 5 and ω2 = 9. Determine the following: a. P(X < 13,300) b. Value for x such that P(X ≤ x) = 0.95 c. Mean and variance of X

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The mean was given to be ? = 11 and x0 was determined to be 11. Substitute these values into the…

Q: PLEASE SHOW COMPLETE SOLUTION

Q: SELECTED EXERCISE 8 A manufacturer knows that on the average 12% of the radios produced require…

A: 1. Given: The sample number of radios selected is n=20. The probability that the radios produced…

Q: Given a dataset: {x1, X2, Xn}, .... a) write down the formula for the standard deviation (T ). (b)…

Q: Find the appropriate critical F-value for each of the following using the F-distribution table. a.…

A: To find the appropriate critical F-value for each of the following using the F-distribution table

Q: The voltage of a received signal is assumed to be normally distributed with standard deviation 0.16…

A: here we have to test H0:μ=2 vsH1:μ≠2 x = output voltage X~ N(μ,σn=0.046188)

Q: 0, x< 0, F4(x) = |, x20. 1- 0.3e-0.00001z For the above model, determine the following: a. Mean…

A: Given F4x= 0 , x<01-0.3e-0.00001x , x≥0

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table below…

A: Solution: Class(1) Frequency (f)(2) Mid value (x)(3) f⋅x(4)=(2)×(3) f⋅x^2=(f⋅x)×(x)(5)=(4)×(3)…

Q: Let x = (x₁,...,xn) be a data set, and denote its sample standard deviation with sx. Let y₁ = ax; +…

Q: Write the value of the (log) likelihood for the fitted glm model and the value of the deviance for…

A: The data also gives x1, the porosity index of the piece, which is a numerical quantity: (Survived,…

Q: Show that E [ X – m]³ = E(X)³ – 3m, o- m and o? are the mean and %3D where variance of X…

Q: Q.7 For an exponential distribution fx(x; µ) = {ue* x 20 where u >0 17 e.w. Write (Don't derive) (a)…

Q: Kindly answer it shortly

A: a)Let Xi (i=1,2,3) be the number of containers of type i. Type 1 container has a volume of 27ft3,…

Q: ber of sample values. Also, compare the computed standard deviation to the standard deviation…

A: We have given that frequency distribution table. I want to find standard deviation.

Q: 3. [Maximum mark: 5] The times taken for a group of runners to complete a half-marathon are found to…

Q: Z is a normally distributed variable with mean μ = 0 and standard deviation σ = 1. Find P(z <…

A: Z is normally distributed with Mean(μ)=0standard deviation(σ )=1

Q: (a) Mean, variance, and standard deviation of X (b) P(X<2.5). (c) Cumulative distribution function

Q: Let's say p a real function p by: P(x) = ;e-w, x E R a. Calculate the variance of X

A: given the probability density function; p(x)=12e-|x|, x∈R

Q: 1. The mean and standard deviation of a process are known to be μ = 200 and σ = 10. Calculate…

A: Specification limits in SQC refer to the range of values within which a product or process…

Q: The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That…

A: The exponential distribution is always related to the amount of time till a specific event occurs.…

Q: A statistical investigation is conducted to see if the mean of a population of values is equal to…

A: The given data is as follows:The hypothesis is Sample size, Test statistic,

Q: The cumulative distribution function (CDF) for the exponential distribution is given as: P(X < x) =…

A: Mean () =10The cumulative distribution function (CDF) for the exponential distribution is given…

Q: The lifetime X of a widget has a Weibull distribution with parameters a = 2 and B = 5. What is the…

Q: To estimate E[X], you have simulated X,, X,, X,, X, and X, with the following results: 3. 1 2 You…

Q: The weights of a certain dog breed are approximately normally distributed with a mean of u = 55…

A: Given,mean(μ)=55Standard deviation(σ)=5

Q: This exercise requires the use of a graphing calculator or computer programmed to do numerical…

Q: 6. It is known that the tensile strength of a plastic increases as a function of the time it is heat…

Q: Verify that the following is a distribution function:

Q: Find quartile deviation and its co-efficient from the following data.

A: The quartile deviation is defined as Q.D = (Q3 - Q1)/2 Where Q3 = third quartile and Q1 = first…

Q: The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.75 pounds.…

Q: The amount of water flowing over a damn in any 30 minute interval follows a lognormal distribution…

A: Let X denote the amount of water flowing over a damn in any 30 minute interval follows a lognormal…

Q: d. P(X> 1.8, 1 <Y < 2.5) e. E(X) f. P(X <0, Y <4)

Q: Consider the function f(x)=1/x, defined on the interval 1≤ x≤ e . . Find µx , the mean of the…

Q: Q.7 For an exponential distribution fx(x; µ) = {ueHX, x 2 0 where u > 0 Write (Don't derive) (a)…

Q: 1. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of (e0.001x f(x) = {…

Q: exponential distribution fx(x; 4) = {ue; e. w.

A: As per Bartleby guideline for more than one questions asked only first three are to be answered…

Q: An interpolation function, P(x), for e 2 x between x=0 and x=.5 was found using the following data…

A: No. of Data Point = 6 x = 0.25 f(x) = e2x Formula for Upper Bound:E =…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Given Data: μ=120σ=39.9n=18 X¯~ Normal μ, σ2n

Question

Suppose that X has a lognormal distribution with parameters θ = 5 and ω2 = 9. Determine the following:

a. P(X < 13,300)
b. Value for x such that P(X ≤ x) = 0.95
c. Mean and variance of X

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Q1: Lifetimes of a certain component are lognormally distributed with parameters u = 1 day and o = 0.5 days. Find the mean lifetime of these components. 1-Find the standard deviation of the lifetimes. 2-Find CDF 3- Find reliability at t= 4 day
STAT 202: Individual Assignment x>0 1. Given the Gamma distribution as f(x) =- elsewhere Find the mean and variance of the distribution. 2a. Suppose that a large conference room for a certain hotel can be reserved for no more than 4 hours. However, the use of the conference room is such that both long and short conferences occur quite often. In fact, it can be assumed that length X of a conference has a uniform distribution on the interval [0, 4]. i. Determine the probability density function ii. What is the probability that any given conference last at least 3 hours? b. A cement wholesale distributor has a large store that hold fixed supplies and are filled every Sunday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found out that this proportion could be modeled by a beta distribution with a = 4 and ß = 2 . Find the probability that the wholesaler will sell at least 90% of his stock in a…
A population of students earned test scores distributed normally with a mean of 65 and a standard deviation of 9. Find the percent of scores with a grade of F. Identify the following variables: μ: σ: x1: x2:z1 = , z2 = The percent of students that earned a grade of F, between 0 and 60, is = % Enter your answers as numbers accurate to 2
Enter a value for π. A die is rolled until it shows 6. Denote the number of times it was rolled by X. Compute: E(X): Standard deviation of X: (enter at least 3 decimal places).
find subparts of question
2. Determine whether each of the following distributions are exponential family. For those that are, find a set of complete, minimum sufficient statistics. For those that are not, find a sufficient statistic. (a) Location Exponential: f(x) = e-(-0), x > 0. (b) f(x) = 0(1+x)(1+0), x > 0 (c) logN(u,02): f(x) = 1 a exp{-(log x-μ)²), x > 0. αν2πσ2 },
Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(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 =
Q.7 For an exponential distribution fx(x; p) = (ue H, x20 %3D e. w. where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. E(X). (b) Standard deviation, i.e. S.D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizv
Consider the distribution of lifetimes, X(in months) of a particular type of component. The CDF of X isB 1-e**** F(x) ,X > 0 a. Find the pdf of lifetime. b. Find the median of lifetime. c. Find the time t such that 10% of the components fail before t.
Assume x is exponentially distributed with a mean of 4. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)