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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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Question

The outcome space (Ω) below represents the answers (P = passed and N = not
passed) from 3 different students who were asked randomly whether they believe
they passed their ECON41 midterm or not shortly after taking it. Assume that each
student has a 50% chance of passing and that they are all independent. Let X be the
random variable indicating the number of students that passed the exam among the
3 asked: Ω = {(PPP),(NNN),(PNP),(NPP),(PPN),(NPN),(NNP),(PNN)}

Find P(X = 2|X ≥ 1)
(a) 3/8
(b) 3/ 7
(c) 7/8
(d) 4/ 7
(e) None of the above

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