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4 years ago

Please hurry If the probability of an event is 1/6 , and there are 18 total outcomes, how many favorable outcomes are there?

Mathematics

2 answers:

n200080 [17]4 years ago

8 0

Answer: 3

Step-by-step explanation:

All you have to do is divide 18 by 6, which equals three, so there are 3 favorable outcomes.

Hope that helps.

iren2701 [21]4 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

The Pew Research Center has conducted extensive research on the young adult population (Pew Research website, November 6, 2012).

Rudik [331]

Answer:

a) $0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

b) $0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

c) The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

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".

The population proportion have the following distribution

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

Part a

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

Part b

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

Part c

The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

7 0

3 years ago

How do you change 0.0112 in to a fraction?

ioda

$\frac{7}{625}$
If there was a number other than 0 before the decimal point, it would serve as the whole number in our final answer.
First count the number of digits after the decimal point. For this problem it's 4.
Then make the denominator 10 raised to the power of your answer in the first step so the denominator for this question is 10⁴=10000
The numerator will be the number after the decimal point.
The fraction will be = 112/10000
Then reduce it to the lowest term
If you divide the numerator and denominator by 16 you get 7/625 which is the lowest possible fractional term.

5 0

3 years ago

Read 2 more answers

What’s GD Answers a. 20 b. 3 c. 15 d. 12

djverab [1.8K]

Answer:

B. 3

Step-by-step explanation:

16 : 4 = 12 : |GD|

4=12 : |GD|

|GD| = 12 : 4 = 3, Answer is B

8 0