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1 year ago

A binomial distribution has p = 0.05 and n = 50. what is the mean of this distribution?

Mathematics

1 answer:

Kruka [31]1 year ago

7 0

2.5 is the mean of this distribution.

What is the distribution's mean?

The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.

Given: p = 0.05 and n= 50

Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5

Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.

Learn more about binomial distribution

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Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

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

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

3 years ago

Can anyone help!<br> WITH STEPS!

MissTica

Answer:

When we have something like:

$\sqrt[n]{x}$

It is called the n-th root of x.

Where x is called the radicand, and n is called the index.

Then the term:

$\sqrt[4]{16}$

is called the fourth root of 16.

And in this case, we can see that the index is 4, and the radicand is 16.

At the end, we have the question: what is the 4th root of 16?

this is:

$\sqrt[4]{16} = \sqrt[4]{4*4} = \sqrt[4]{2*2*2*2} = 2$

The 4th root of 16 is equal to 2.

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3 years ago

2.Solve x squared - 4x by Factoring

777dan777 [17]

Answer:

Step-by-step explanation:

hello:

x²-4x=0 means : x(x-4)=0

x=0 or x-4=0

conclusion : x=0 and x= 4 ...answer : B

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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