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Sergio039 [100]
3 years ago
12

Suppose you want to play a carnival game that costs 4 dollars each time you play. If you win, you get $100. The probability of w

inning is 1⁄100. What is the expected value of the amount the carnival stands to gain?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

The answer is: -3

Step-by-step explanation:

The expected value is given by adding the values of posible gain mutiplied by the probability of getting that gain so you lose the $4 you pay to play the game with probability 1-1/100=99/100 and you gain 100-4=96 dollars if you win with probability 1/100, so

E(X)=(-4)\dfrac{99}{100}+(100-4)\dfrac{1}{100}=-3

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4 years ago
Help ASAP.
denpristay [2]

1.\\A(n)=-2\cdot5^{n-1}\\\\\text{Find the first, fourth, and eighth terms}\\\text{It means}\ A(1),\ A(4)\ \text{and}\ A(8).\\\\\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{in}\ A(n):\\\\A(1)=-2\cdot5^{1-1}=-2\cdot5^0=-2\cdot1=-2\\\\A(4)=-2\cdot5^{4-1}=-2\cdot5^3=-2\cdot125=-250\\\\A(8)=-2\cdot5^{8-1}=-2\cdot5^7=-2\cdot78,125=-156,250\\\\\boxed{Answer:\ a)\ -2,\ -250,\ -156,250}.


2.\\a_1=-6,\ r=2\\\\\text{The formula of a n-th term of geometric sequence}\\\\a_n=a_1r^{n-1}\\\\\text{Substitute:}\\\\a_n=-6\cdot2^{n-1}=-6\cdot2^n\cdot2^{-1}=-6\cdot2^n\cdot\dfrac{1}{2}=-3\cdot2^n\\\\\boxed{Answer:\ A(n)=a_n=-3\cdot2^n}

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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