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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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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.

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 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.
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 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.
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