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2 years ago

What is the probability of tossing a standard coin and having it land on head three times in a row?

Mathematics

1 answer:

sergejj [24]2 years ago

4 0

Answer:

the probability of a coin landing on heads 3 times in a row is 1/8 or 0.125 or 12.5%

Step-by-step explanation:

the chance of landing heads once is 1/2, for it to be 2 times in a row its 1/4, and 3 times in a row its 1/8, basically every time you want to do it in a row you multiply 1/2, so for example for this question you multiply 1/2 by however times you want the coin to land on heads in a row, (1/2) X(1/2)X(1/2)

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The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

3 years ago

What is 9 ten thousands ÷10

borishaifa [10]

9 ten-thousands is 9*10,000=90,000. 90,000/10 is 9,000, or nine thousands.

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saveliy_v [14]

This one is super difficult, I see your struggle but the answer is A.

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1 year ago

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How do you estimate 52% of 84?

Nastasia [14]

The way to answer this question is to first make 52% into a decimal:

52% = 0.52

so now we will simply multiply:

84
x.52

once you have multiplied these numbers it comes out to be 43.68.
So your answer is 43.68.

Hope this answer helps! feel free to ask any additional questions :)

6 0

2 years ago

A circle has a radius of 30 cm.

topjm [15]

It would be 60 because all you do is double the radius because it is only half of the circle

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2 years ago

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