HW_2_Sol - OR 3500/5500 Fall15 Homework 2 Homework 2...

This preview shows page 1 - 2 out of 4 pages.

OR 3500/5500, Fall’15, Homework 2Homework 2SolutionsProblem 1.A box contains one brandA, two brandB, and three brandCtransistors. Two transistors are drawn at random and with replacement. LetX(resp.Y) be the number of brandA(resp. brandB) transistors among thetwo selected at random.a) Calculate the joint probability functionpX,Y(x, y).b) Find the marginal probability functions.c) Are the random variablesXandYindependent? Justify.d) Calculate the probabilityP[X=Y].Solution:

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture