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3 years ago

When rolling a die (1) what's the probability of getting an even number in two successive throws??

Mathematics

1 answer:

zzz [600]3 years ago

8 0

Answer: I think it would be a 50/50 chance of getting 2 even numbers.

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A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

The perimeter of a square is 52 meters. What is it area.

ValentinkaMS [17]

Answer:

169 meters

Step-by-step explanation:

52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)

13^2=169 (to find the area you square the length of each side)

7 0

3 years ago

Please help meeeeeee...

dangina [55]

Parallel means lines that never meet, and perpendicular are lines that meet at right angles.

5 0

3 years ago

Y=1/3x + 2 what is the domain?

Trava [24]

Answer:

To find the domains you must graph this equation and find the x-coordinates of the points plotted. That's the domain.

Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.

So if the x-coordinates were 4,5,6,4,7,5

You would write the domain as {4,5,6,7}

5 0

3 years ago

Read 2 more answers

Pls help i’m failing rn

Valentin [98]

Answer:

The answer is letter D.

Step-by-step explanation:

-2(4x+8)+3(5x-1)

=-8x-16+15x-3

=-8x+15x-16-3

=7x-19

4 0

3 years ago

When rolling a die (1) what's the probability of getting an even number in two successive throws??​

When rolling a die (1) what's the probability of getting an even number in two successive throws??