Before starting to play the roulette in a casino you want to look for biases that you can exploit. Youtherefore watch 100 rounds that result in a number between 1 and 36 and you count the number ofrounds for which the result is odd. If the count exceeds 55, you decide that the roulette is not fair.Assuming that the roulette is fair, find an approximation for the probability that you will makethe wrong decision.

Answers

Answer 1

Answer:

[tex]P(n>55)=0.1357[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=100

Sample space n'=36

Generally the equation for the mean number of times odds appears is mathematically given by

[tex]\=x_o=hp[/tex]

[tex]\=x_o=100*0.5[/tex]

[tex]\=x_o=50[/tex]

Generally the equation for standard deviation is mathematically given by

[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]

[tex]\sigma=5[/tex]

Therefore probability to make wrong decision P(n>55)

[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]

[tex]P(n>55)=0.1357[/tex]

Answer 2

An approximation for the probability that you will make the wrong decision is 0.1587.

Probability

S=Number of time that the result was odd

n=100

p=0.5

Hence:

E[S]=100×0.5

E[S]=50

Standard deviation=√100×0.5×0.5

Standard deviation√25

Standard deviation=5

Using normal approximation to the binomial

P(S≥55)=P(S-50/5 ≥ 55-50/5)

P(S≥55)=1-P(z ≤ 1)

P(S≥55)=1-0.8413

P(S≥55)= 0.1587

Inconclusion  an approximation for the probability that you will make the wrong decision is 0.1587.

Learn more about probability here:https://brainly.com/question/24756209


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Answers

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Step-by-step explanation:

Given:

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Answers

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Use an online converter but there is something you should know

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There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).

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Answers

Answer:

a) Let's define the variables:

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Answers

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Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did he wash this year than last year? *52 weeks=1 year

Answers

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The computation of the number of more cars he washed this year is given below;

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