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05.05.2020 •
Mathematics
Suppose that two players, R and C, write down letters of the alphabet. If both write vowels or both write consonants, then there is no payment to either player. If R writes a vowel and C writes a consonant, then C pays R $6. If R writes a consonant and C writes a vowel, then R pays C $5. Suppose that R chooses a consonant 75% of the plays and C chooses a vowel 30% of the plays. What is the average loss of R per play?
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Ответ:
-0.075
Step-by-step explanation:
[Player R, Player C] cases & outcomes :-
(Vowel, Vowel) = (0,0) (Consonant, Consonant) = (0,0) (Vowel, Consonant) = (6,-6) (Consonant, Vowel) = (-5,5) Prob (R chooses consonant) = 75% = 0.75 Prob (R chooses vowel) = 1 - 0.75 = 0.25Prob (C chooses vowel) = 30% = 0.30 Prob (C chooses consonant) = 1 - 0.30 = 0.70Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant
= (0.75)(0.30)(-5) + (0.25)(0.70)(6)
-1.125 + 1.05
= -0.075
Ответ:
answer:
step-by-step explanation:
the general form of the equation of the line:
ax + by + c = 0