b) Two PINS are chosen independently and at random, and you are given that each PIN consists of four different digits. Let X be the random variable denoting the number of digits that the two PINS have in common. i. Explain clearly why P(X = k) for k= 0, 1, 2, 3, 4. ii. Hence write down the values of the probability mass function of X, and find its mean.

b) Two PINS are chosen independently and at random, and you are given that each PIN consists of four different digits. Let X be the random variable denoting the number of digits that the two PINS have in common. i. Explain clearly why P(X = k) for k= 0, 1, 2, 3, 4. ii. Hence write down the values of the probability mass function of X, and find its mean.

Name: b) Two PINS are chosen independently and at random, and you are given
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Description: b) Two PINS are chosen independently and at random, and you are given that each PIN consistsof four different digits. Let X be the random variable denoting the number of digits that the twoPINS have in common.Ri. Explain clearly why P(X = k) =,for k

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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