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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How would one convert 6 lb to ounces (16 oz = 1 lb)?
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O B.
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Answers

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

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$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

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$5*t + $3*r = $54

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r = 14 - 6 = 8

r = 8

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Answers

Answer:

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Step-by-step explanation:

Since,

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Answer:

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Step-by-step explanation:

Given:

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Answer: angles HIL and MLI are supplementary angles.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

x is the independent variable. y is the dependent variable.

Dependent variables take their values based on values of independent variables. In the considered case, we have:

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Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

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The variables who take their values based on some other variables' values are called dependent variables.

For the considered case, the two variables in consideration are:

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Answers

Answer:

Use an online converter but there is something you should know

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Given

2 ( 6 + 1 ) - | -10 | + 3 × 2

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= 12 + 2 - | -10| + 3 × 2

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= 12 + 2 - 10 + 6

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Answer:

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Step-by-step explanation:

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Answer:

Input     Output

  0             1

  2              2

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Step-by-step explanation:

Given

The rule: input ⇒ ÷2+1 ⇒ output

Solve

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2 ⇒ 2÷2+1 ⇒ 2

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100 ⇒ 100÷2+1 ⇒ 51

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Step by step

Answers

i believe the answer is C :]

The selling price for a classic painting is $16,000, which is $2000 less than two times its original price. What was the original price of the painting?

Answers

Answer:

$9,000

Step-by-step explanation:

$16,000 + $2,000 = $18,000

$18,000/2 = $9,000

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