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You flip a fair coin 10,000 times. Approximate the probability thatthe difference between the number of heads and the number of tails is at most 100.

Answers

Answer 1

Answer:

Answer:

E[X] = (np) (p+(1-p))^(n-1)

With n =10,000 and p=0.50 we get

E[X]= (10,000*0.50) (0.50+(1–0.50))^(10,000–1)

E[X] = 5,000(1)

So assuming the coin is fair (p=50%), then we can expect to get heads 5,000 times when the coin is tossed 10,000 times.

Step-by-step explanation:

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What sample size would be required to estimate the true proportion of American female business executives who prefer the title "Ms.," with an error of ±0.025 and 98 percent confidence? (Enter your answer as a whole number (no decimals). Use a z-value taken to three decimal places in your calculations.) Sample size

Answers

Answer:

$n=(0.5(1-0.5))/(((0.05)/(2.326))^2)=2164.1104$

And rounded up we have that n=2165

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{(\hat p(1-\hat p))/(n)})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by $\alpha=1-0.98=0.02$ and $\alpha/2 =0.01$ . And the critical value would be given by:

$z_(\alpha/2)=-2.326, z_(1-\alpha/2)=2.326$

The margin of error for the proportion interval is given by this formula:

$ME=z_(\alpha/2)\sqrt{(\hat p (1-\hat p))/(n)}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

(b)

We can assume that the estimated proportion is 0.5 since we don't have other info provided to assume a different value. And replacing into equation (b) the values from part a we got:

$n=(0.5(1-0.5))/(((0.05)/(2.326))^2)=2164.1104$

And rounded up we have that n=2165

How do you solve this math problem 6x-5y=712x-10y=1

Answers

Combine like terms then either leave it where you get it or out in standard form

I found it easier to break them up and find the values of x and y singularly.. thats what I did in part 1.

Then plugging them in to find the values of the x and y foe the equation.. thats part 2

I wont lie these answer just look weird and could be wrong... but in math thats kinda normal so im not 100% but hopefully I was able to help in some way

Is 1.3 greater than negative 5

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1.3 would be considered greater than negative 5. Although 1.3 is a decimal it is still a positive number and positives are worth more than negatives regardless

Yes it is jndnscjoixglcogkg oyvyvh

I don’t get it need help

Answers

For all question 3 you just need to work out the answers and show your working out :)

a. 297
b. 567
c. 837
d. I added the tens together and the units

4. a. 10
i don't know the rest

5. a. 0.68
b. 1.34

6. a. ???
b. 1 2/5

7. a. 0.50 - 1 - 06.00? - 700.00
b. 0.80 - 9 - 31.00? - 600.00

I think that's correct ;)

Someone help pls!!! Thanks

Answers

Answer:

The answers are A and C

Step-by-step explanation:

A is correct because -16 is on the left of the number line.

Solve the following linear equation

−4(2w−7)=9(2−w)

Answers

Answer:

-10

Step-by-step explanation:

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