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3 years ago

15

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and hav

e recorded the color rolled for each toss. What is the probability you will roll a brown on your next toss of the die? Express your answer as a simplified fraction or a decimal rounded to four decimal places. brown purple green yellow 35 50 44 23

1 answer:

Airida [17]3 years ago

4 0

Answer:

The probability of rolling a brown on the next toss is 0.2303.

Step-by-step explanation:

The data recorded is:

Brown = 35

Purple = 50

Green = 44

Yellow = 23

TOTAL = 152 tosses

The probability of an event <em>E</em> is computed by dividing the favorable number of outcomes by the total number of outcomes.

$P(E)=\frac{Favorable\ outcomes}{Total\ no.\ of\ outcomes}$

Using this formula compute the probability of rolling a brown on the next toss as follows:

$P(Brown)=\frac{35}{152}= 0.2303$

Thus, the probability of rolling a brown on the next toss is 0.2303.

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Answer:

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Step-by-step explanation:

Older Scale:

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New scale:

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3 years ago

A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti

Gre4nikov [31]

Answer:

a. .92

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 of the interval is:

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

The lower bound is the point estimate $\pi$ subtracted by the margin of error.

The upper bound is the point estimate $\pi$ added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

$\pi = \frac{0.372 + 0.458}{2} = 0.415$

Sample of 400, which means that $n = 400$

Margin of error is the estimate subtracted by the lower bound. So $M = 0.415 - 0.372 = 0.043$

We have to find z.

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

$0.043 = z\sqrt{\frac{0.415*0.585}{400}}$

$z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}$

$z = 1.745$

$z = 1.745$ has a pvalue of 0.96.

This means that:

$1 - \frac{\alpha}{2} = 0.96$

$\frac{\alpha}{2} = 1 - 0.96$

$\frac{\alpha}{2} = 0.04$

$\alpha = 0.08$

Confidence level:

$1 - \alpha = 1 - 0.08 = 0.92$

So the correct answer is:

a. .92

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3 years ago

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Answer Do it

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3 years ago

An engineer measured the Brinell hardness of 25 pieces of ductile iron from her company, that were subcritically annealed. She b

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Answer:

Yes. The sample size is large enough

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Ha: μ≠ 170

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d) H0: μ=170 is true

Step-by-step explanation:

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b) standard deviation= √(∑(x-μ)²/25)

Using this formula value of standard deviation was computed to be 10.31

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A scatter plot shows that number of values higher than mean is 14 and number of values lower than mean is 11. So we can say that data is distributed around mean

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=(172.52-170)/10.31

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