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3 years ago

6

Let x equal the larger outcome when a pair of fair four-sided dice is rolled. find the pmf of x, its mean, variance, and standar

d deviation.

1 answer:

Shtirlitz [24]3 years ago

3 0

Checked for the attached file for the solution:

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Factor the quadratic by checking factor pairs.<br> 6x2 + 7x + 1<br><br> 6x2 + 7x + 1 =

Sati [7]

Answer:

U cannot use factorisation method to solve this, we are to use formula method

Step-by-step explanation:

6x²+7x=1

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garri49 [273]

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Step-by-step explanation:

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3 years ago

Oabc is a square o is 0,0 a is -2,2 b is 0,4 c is 2,2 A single transformation of oabc is such that A is mapped to c. C is mapped

Elis [28]

Using translation concepts, it is found that the transformation is a reflection over the y-axis.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:

(x,y) -> (-x,y).

Meaning that the transformation is a reflection over the y-axis.

For O and B, the rules are given as follows:

O: (0,0) -> (-0,0) = (0,0).

B: (0,4) -> (-0, 4) = (0,4).

Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.

More can be learned about translation concepts at brainly.com/question/4521517

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2 years ago

A smartphone originally worth $790 loses value at a rate of $175 each year. Write an equation to represent the value of the phon

PIT_PIT [208]

The equation is 175*4=700
so its 790-700=90

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3 years ago

The Wall Street Journal reported that the age at first startup for 90% of entrepreneurs was 29 years of age or less and the age

Hitman42 [59]

Answer:

(a) $\hat p\sim N(0.90,\ 0.0212^{2}})$

(b) $\hat q\sim N(0.10,\ 0.0212^{2}})$

(c) Not different.

Step-by-step explanation:

The information provided is:

The age at first startup for 90% of entrepreneurs was 29 years of age or less.
The age at first startup for 10% of entrepreneurs was 30 years of age or more.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

Let <em>p</em> represent the proportion of entrepreneurs whose first startup was at 29 years of age or less.

A sample of <em>n</em> = 200 entrepreneurs is selected.

As <em>n</em> = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.

Compute the mean and standard deviation as follows:

$\mu_{\hat p}=p=0.90\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.90(1-0.90)}{200}}=0.0212$

So, $\hat p\sim N(0.90,\ 0.0212^{2}})$ .

(b)

Let <em>q</em> represent the proportion of entrepreneurs whose first startup was at 30 years of age or more.

A sample of <em>n</em> = 200 entrepreneurs is selected.

As <em>n</em> = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.

Compute the mean and standard deviation as follows:

$\mu_{\hat q}=q=0.10\\\\\sigma_{\hat q}=\sqrt{\frac{q(1-q)}{n}}=\sqrt{\frac{0.10(1-0.10)}{200}}=0.0212$

So, $\hat q\sim N(0.10,\ 0.0212^{2}})$ .

(c)

The standard deviation of sample proportions is also known as the standard error.

The standard deviation of <em>p</em> is, 0.0212.

The standard deviation of <em>q</em> is, 0.0212.

Thus, the standard errors of the sampling distributions in parts (a) and (b) are same.

5 0

3 years ago