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2, is to denote the amount of money won on a daily lotto bet in South Africa in the following manner. If the first head occurs on the first toss, R1 (one rand) is won. If the first head occurs on toss 2 or on tos

2, is to denote the amount of money won on a daily lotto bet in South Africa in the following manner. If the first head occurs on the first toss, R1 (one rand) is won. If the first head occurs on toss 2 or on tos

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose that an experimenter tossed three balanced coins. He defined ?1, to denote the
number of heads and ?2, is to denote the amount of money won on a daily lotto bet in South
Africa in the following manner. If the first head occurs on the first toss, R1 (one rand) is won. If
the first head occurs on toss 2 or on toss 3, R2 or R3 is won respectively. If no heads appear,
the R1 (that is, win −R1) is lost.
Find
i) the joint probability function of ?1and ?2.
ii) the probability that less than 3 heads will occur and the student will win R1 or less. 

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