Ask question

Ask question

All categories

3 years ago

14

A fair coin to tossed in the air four times if the experimental probability of landing on tails is 1/4,then what is the differen

ce between the experimental and theoretical probability

1 answer:

cupoosta [38]3 years ago

3 0

The experimental probability is 1/4 because of the four times the coin was flipped, it only landed on tails once, and on heads the other three times.

The theoretical probability, however, is 1/2 because there are two possible outcomes that are both equally likely. As your sample size increases, your experimental probability will get closer and closer to your theoretical probability.

You might be interested in

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

Convert. 4600 g = _____ kg

faltersainse [42]

Answer:

4.6 Kilograms.

Step-by-step explanation:

6 0

3 years ago

I need to find the absolute mean of this?

Slav-nsk [51]

Give more detail please this makes zero sense

4 0

3 years ago

2. which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and th

Triss [41]

The question is asking to choose among the following choices that states the question that represent the said sentence in your question and base on the fact and further understanding about the said sentence, I would say that the answer would be ((x+4)/2)-3(4/x). I hope you are satisfied with my answer and feel free to ask for more

8 0

3 years ago

PLEASE ANSWER THIS: look at the pic for question. Thanks!!!

Nadya [2.5K]

Answer:

$\text{D. }b^2-4ac>0$

Step-by-step explanation:

The equation $b^2-4ac$ represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

If the discriminant is positive, or greater than 0, the quadratic has two solutions

If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).

If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have $b^2-4ac>0$ .

4 0

3 years ago