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Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of heads and X₂, is to denote the amount of money won on a daily lotto bet iSouth 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 X₁ and X2. ii) the probability that less than 3 heads will occur and the student will win R1 or less.

Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of heads and X₂, is to denote the amount of money won on a daily lotto bet iSouth 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 X₁ and X2. ii) the probability that less than 3 heads will occur and the student will win R1 or less.

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 X₁, to denote the number of heads and X₂, is to denote the amount of money won on a daily lotto bet iSouth 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 X₁ and X2. ii) the probability that less than 3 heads will occur and the student will win R1 or less.
Transcribed Image Text:Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of heads and X₂, is to denote the amount of money won on a daily lotto bet iSouth 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 X₁ and X2. ii) the probability that less than 3 heads will occur and the student will win R1 or less.
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