The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F:F(x) = 0 for x < 0 and F(x)=³ for 0 ≤ x ≤ 3 and F(x) = 1 for x > 327a) What is the probability density function for X for 0 ≤ x ≤ 3?○ f(x) =f(x) =160f(x) == //f(x)(=/3/7/26* ~*f(x) == /b) What is the probability that X > 1.2? 2c) What is the probability X < 1.2? 34d) What is the probability that X < 0 ?e) What is the probability that X > 2.2 ?5f) What is the probability that X > 2.2 given that X > 1.2?6g) Calculate the median of X. 7h) What is the expected value of X?8i) What is the expected value of x²?j) What is the variance of X?k) What is the probability that X is more than 0.2 above its expected value?1011

As per our guidelines we are suppose to answer only three sub parts. Given,F(X)={x327; 0≤x≤30;…

Answered: The amount of the product of a…

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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