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3 years ago

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Suppose a casino invents a new game that you must pay $250 to play. The game works like this: The casino draws random numbers be

tween 0 and 1 from a uniform distribution. It adds them together until their sum is greater than 1, at which time it stops drawing new numbers. You get a payout of $100 each time a new number is drawn. For example, suppose the casino draws 0.4 and then 0.7. Since the sum is greater than 1, it will stop after these two draws, and you receive $200. If instead it draws 0.2, 0.3, 0.3, and then 0.6, it will stop after the fourth draw and you will receive $400. Given the $250 entrance fee, should you play the game

1 answer:

lubasha [3.4K]3 years ago

6 0

Answer:

clc%clears screen

clear all%clears history

close all%closes all files

p=250;

M=[];

for i=1:100000

re=0;

S=0;

while(S<=1)

S=S+rand;

re=re+100;

end

M(i)=re;

end

disp('Expected received money is');

mean(M)

disp('Since expcted is greater than what we pay. So, we will play')

Step-by-step explanation:

You might be interested in

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

therefore

the answer Part b) is

the cubic polynomial function is equal to

$x^{3}-10x^{2} +31x-30=0$

7 0

2 years ago

Read 2 more answers

Me banks left work at 5:15cpm it took him 1 1/4 hours to drive home at what time did me banks arrive home

katen-ka-za [31]

Answer:

the answer would be 6:30 pm

Step-by-step explanation:

if you left work at 5:15 and it took 1 1/4 min to get home

you would

find 1/4 witch would be 15 min because 60/4= 15

then add 1:15 to 5:15

1:15 + 5:15 = 6:30 pm

you arrived home at 6:30 pm

4 0

3 years ago

When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

6 0

2 years ago

I will give brainliest quick

a_sh-v [17]

There are 44 total small egg cartons, 264 / 6 = 44

There are 176 total medium egg cartons, (264 / 3) x 2 = 176

There are 44 total big egg cartons, 176 + 44 = 220

264 - 220 = 44

<u>Note: (So you don't get confused) Above is just the number of egg cartons, below is the number of eggs.</u>

There is a total of 352 eggs in the small egg cartons, 44 x 8 = 352

There is a total of 2112 eggs in the medium egg cartons, 176 x 12 = 2112

There is a total of 792 eggs in the large egg cartons, 44 x 18 = 792

Hope this Helps! :)

3 0

2 years ago

The circumference of a circle is 314 units. What is the area?

german

Answer:

7850 square units

Step-by-step explanation:

According to the question;

Circumference of a circle is 314 units;

We are required to find the area of the circle;

First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

= 100 units

But, radius = Diameter ÷ 2

= 100 units ÷ 2

= 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

= 7850 square units

Thus, the area of the circle is 7850 square units

4 0

2 years ago