Task 2Generate random numbers from a probabilty distribution that looks ike two trangles. The PDF 00 s the fotowing Use the inverse CDF samping methodX) =0 wen x0. 2 when Oxct• 10X 1-/2 when 1x-2fX O when 2ox-fox) X3y2 when 3xcafo (5-xy2 when 4exe5f(x O when x6

Generate Random numbers from a probability distribution that looks like two triangles. The PDF f(x)…

Answered: Task 2 Generate random numbers from 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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Suppose you have joint random variables X and Y. It is found that COV(X,Y) Var(X) = 8, and Var(Y) = 5. - 0.85, Based on the covariance, is there a positive relationship, a negative relationship, or no linear relationship between the variables? O No Linear Relationship Positive O Negative Find the value of the correlation coefficient. Round your answer to 3 decimals.
Seven iPhone units are chosen at random from a shipment of 240 iPhone units of which 15 are defective. a) What the probability that at most 2 of the chosen iPhone units are defective? b) Is it possible to approximate the probability in (a) using the binomial distribution? Explain your answer. c) If your answer in (b) is Yes, what is the approximate probability that at most 2 of the chosen iPhone units are defective? d) What can you say about the probabilities obtained in (a) and (b)?
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Task 2 Generate random numbers from a probabity distribution that looks ke wo trangles The PDF the folowing Use the inverse COF samping method x)=0 when x0 • p 2 when Ot T 12 when 12 xOwhen 23 fo 3y2 when 3x4 • f00 (5-xy2 when 4x O when 5