2) Suppose that X is a random variable having a probability density functionHà) xe ở xao*x>00, elsewheref(x; B) =Show whether or not21X198% Confidence interval for ß if a random sample is given by2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8is a pivotal quantity, Explain and if yes construct a

2) The probability density function (PDF) of X is given as follows: fx;β=1β2 xe-xβ, x>0=1Γ2β2…

Answered: 2) Suppose that X is a random variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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pleaseee sir solve question 13
The weights of beagles (dogs) have approximately a normal distribution with u = 17.1 pounds and a standard deviation of o = 1.8 pounds. Suppose that we randomly select n = 64 beagles and measure their weights in pounds. Let X be the random variable representing the mean weight of the selected beagles. Let Xtot be the random variable representing the total weight of the selected beagles. a) About what proportion of beagles have weights between 17 and 18 pounds? b) About what proportion of beagles have weights greater 20 pounds? c) About how many of the 64 sampled beagles have weights less than 16.5 pounds? (nearest integer) d) About how many of the sampled beagles have weights between 17 and 18 pounds? (nearest integer) e) What is the standard deviation of the distribution of X? f) What is the standard deviation of the distribution of Xtot? g) What is the probability that 17 1100? f) Copy your R script for the above into the text box here.
A is a standard normal random variable. If A=a, and B is a normal random variable with parameters (2a,1), i) What is the distribution of B? ii) Find E(B) and Var(B) iii) Assuming B= 1234, what is the distribution of A? iv) Given that B=1234, find E(X|B=1234) and Var(X|B=1234)
Suppose the random variable X follows a normal distribution with mean 80 and variance 100. Then the probability is 0.6826 that X is in the symmetric interval about the mean between two numbers are A) -2 to 2 B) -3 to 3 C) -1 to 1 D) none
I am lost with the way im supposed to solve this question please help?
The manager of a baseball team has determined the number of walks, x, issued in a game by one of the pitchers. The probability distribution for x is as follows: P(x) 1/20 X 1 2/20 2 3/20 3 11/20 4 3/20 a) Is this a correct probability distribution? Why or why not? b) Calculate the mean (expected value) for x. c) Construct the probability distribution histogram for the number of 'walks'.
Solve using R commands and manually Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 andstandard deviation 5 (“Mathematical Model of Chloride Concentration in Human Blood,” J. of Med.Engr. and Tech., 2006: 25–30”).(a) What is the probability that chloride concentration equals, less than, and at most 104?(b) What is the probability that someone’s blood chloride concentration level is between 99 and 114?(c) What is the probability that someone’s blood chloride concentration level is above 120?
Please answer both parts of the question thanks
Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer. Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.3. Round all answers to 4 decimal places and 3 = b) What is the probability that data transfer time exceeds 49 ms? a) What are the values of a = ? c) What is the probability that the data transfer time is between 49 and 67 ms?
Let X be the random variable from normal distribution with mean (μ) = 60 and standard deviation (σ) = 12 Then, P ( 48 > X < 72 ) = ? Draw a bell curve.

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2) Suppose that X is a random variable having a probability density function Hà) xe * =0, elsewhere f(x; B) = x>0 2=X Show whether or not B 98% Confidence interval for ß if a random sample is given by 2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8 is a pivotal quantity, Explain and if yes construct a