3. A random variable X takes values between 0 and 4 with a cumulative distribution function F(x) =-for 0 sxS 4.(a) Sketch the cumulative distribution function.(b) What is P(X s 2)?(c) What is P(1sXS 3)?(d) Construct and sketch the probability density function.(c) What is the expected value of this random variable?(f) What is the median of this random variable?%3!

Given that, A random variable X takes values between 0 and 4 with a cumulative distribution function…

Answered: 3. A random variable X takes values…

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...

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Uniform distribution of traffic accidents on a 123 km road (f(x)=C)As it is accepted;a) Determine the value of the constant C,b) Find the additive distribution function (e.d.f =F(x)=?) with respect to the random variable x,c) Find the probability of an accident between 70 and 93 km of the road. (Work 5 digits after the comma.)
(a), (b), (c)
The distribution function for a random variable X is F (x) = {-e-", 20 x > 0 to x 2? e 2 e -5 -4 e
deviation of x to 5? Explain to someone who knows nothing about statistics the measurement to reduce the standard advantage of of a single measurement. reporting the average of several measurements rather than the result A sample of young men, continued. Suppose that the blood cholesterol levels of all men age 20 to 34 years follows the Normal distribution with mean per deciliter (mg/dl) and standard deviationo =41 mg/dl. M = u = 188 milligrams 13.5
Continuous random variables 6. A charity group raises funds by collecting waste paper. A skip-full will contain an amount, X of other materials such as plastic bags and rubber bands. X may be regarded as a random varibales with probability density funnction. All nmerical values are in units of 100kg. Find the Expected value and Standard deviation.Express your answer in 3 decimal place value f(x)= - c(x-1)(4-x) 0 for 1
Q1. Suppose X is a continuous random variable. Find an example of a probability density function for X giving expected value E(X) = 1 and variance V (X) = 3 if X has . . . (a.) a uniform distribution. (b.) an exponential distribution. (c.) a normal distribution. In each case, if there is no such probability density function, explain why this is so.
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