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natita [175]
3 years ago
5

The game of American roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wh

eel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money. Suppose you bet $1 on red.(a) What's the expected value of your winnings?(b) What's the standard deviation of your winnings?
Mathematics
1 answer:
solong [7]3 years ago
3 0

Answer:

a)- \frac{1}{19}

b) SD(x) =  0.9986

Step-by-step explanation:

Given data:

Number of slots 38

slots for red ball 18

slots for black = 18

slots for green 2

outcomes       Red      Black or Green

Profit                  1                 -1

P(X)                   18/38       20/38

Expected value of wining,  

E(x) = 1. \frac{18}{38} + (-1) \frac{20}{38} = - \frac{2}{38} = - \frac{1}{19}

B) Standard deviation of winning SD(x)

SD(x) = \sqrt{(1- (-\frac{1}{19})^2 .\frac{18}{38} + (1- (-\frac{1}{19})^2 .\frac{20}{38}}

SD(x) = \sqrt{\frac{360}{361}

SD(x) =  0.9986

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Answer:

16.5 m

Step-by-step explanation:

The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.

a² + b² = c²

a² + 32² = 36²

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2 years ago
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3 years ago
Tony had 2/3 of a pound of strawberries. Tony let his friend Larry eat 3/8 of the strawberries. How many pounds of strawberries
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Answer:

B)  1/4

Step-by-step explanation:

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5 0
3 years ago
Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the heigh
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Step-by-step explanation:

3 0
1 year ago
Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets
My name is Ann [436]

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

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She pays 10×100=1000 pence.

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