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Karolina [17]
2 years ago
8

Suppose that are Yi.....Yn are i.i.d random variables with a Nâ(âμY, Ï^2Y â) distribution. How would the probability density of

ȳ change as the sample size n âincreases? â
a. As the sample sizeâ increases, the variance of decreases.â So, the distribution of becomes less concentrated around.
b. As the sample sizeâ increases, the variance of decreases.â So, the distribution of becomes highly concentrated around.
c. As the sample sizeâ increases, the variance of increases.â So, the distribution of becomes highly concentrated around.
d. As the sample sizeâ increases, the variance of increases.â So, the distribution of becomes less concentrated around.
Mathematics
1 answer:
svp [43]2 years ago
5 0

Answer:

b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.

Step-by-step explanation:

Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of $E^3$ also changes.

The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.

In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.

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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

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5 0
1 year ago
Help me answer this thanks
Doss [256]

Answer:

c = 15 meters

Step-by-step explanation:

This is solveable using the Pythagorean Theorem,

let's say a = 9 and b = 12,

a^2 + b^2 = c^2, so

9^2 + 12^2 = 225 then,

sqrt(225) = 15, so c = 15 m

7 0
3 years ago
Read 2 more answers
What are the coordinates of the vertex of the parabola with the equation y = x + 2x - 3?
loris [4]

Answer:

<em>The coordinates of the vertex are (-1,-4).</em>

Step-by-step explanation:

<u>Equation of the Quadratic Function </u>

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We are given the function:

y=x^2+2x-3

We must transform the equation above by completing squares:

The first two terms can be completed to be the square of a binomial. Recall the identity:

x^2+2xy+y^2=(x+y)^2

Thus if we add and subtract 1:

y=(x^2+2x+1)-3-1

Operating:

y=(x^2+2x+1)-4

The trinomial in parentheses is a perfect square:

y=(x+1)^2-4

Adding 4:

y+4=(x+1)^2

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).

The coordinates of the vertex are (-1,-4).

4 0
2 years ago
Two sides of a triangle are 4 cm and 7 cm. What can be the length of its third side to make the triangle possible?​
Artyom0805 [142]

Answer:

4cm or 7 cm

Step-by-step explanation:

it can make 2 sides equal and make a isosceles triangle

8 0
3 years ago
What is the multiplicative inverse of c/d? Explain how a number is related to its multiplicative inverse.
Lana71 [14]

Answer:

\frac{d}{c}

Step-by-step explanation:

The multiplicative inverse of a number n is \frac{1}{n}

The product of the number and its multiplicative inverse = 1

n × \frac{1}{n} = 1

Thus the multiplicative inverse of \frac{c}{d} is

\frac{1}{\frac{c}{d} } = \frac{d}{c}

6 0
3 years ago
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