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Brums [2.3K]
3 years ago
10

*MIDDLE SCHOOL*

Mathematics
1 answer:
evablogger [386]3 years ago
5 0
Really fr ikr geez la we zz
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g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d
professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

P (X)=\frac{4}{20}=0.20

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

V(X)=np(1-p)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48

Compute the standard deviation (σ (X)) as follows:

\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48

Compute the standard deviation of (20 - X) as follows:

\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0
3 years ago
Which property is used to solve the following problem: 8(7-3)
Shtirlitz [24]

Answer:

D) Distributive property

Step-by-step explanation:

We use distributive property because the 8 is distributed to the 7 and the negative three (it is negative because the expression can also be written as 8(7 + -3). This is how it will look after the distributing:

56 + -24

7 0
3 years ago
What's the product of 72100 multiplied by 1.02
butalik [34]
<span>72100 multiplied by 1.02 is 73542
</span><span>
</span>
5 0
3 years ago
Read 2 more answers
Mr. Bell wants to plant a rectangular garden in his backyard. He has 100 feet of fence to
vovangra [49]

Answer:

The dimensions of the garden are 22.5ft by 27.5ft

Step-by-step explanation:

Here, we want to calculate the dimensions of the garden.

let the length be x ft

we are told that the he wants the length to be 5 feet more than the width;

That means the width will be (x-5) ft

Mathematically;

Since the shape is rectangular, the perimeter will be 2( l + w)

Thus; 2(x + x-5) = 100

2(2x-5) = 100

divide both sides by 2

2x-5 = 50

2x = 50 + 5

2x = 55

x = 55/2

x = 27.5 ft

The width is thus; 27.5ft - 5ft = 22.5ft

the dimensions of the garden are 27.5 ft by 22.5 ft

5 0
3 years ago
The graph below shows the hours students spent studying and their science test scores.
scoray [572]

Answer:

4.5

Step-by-step explanation:

Just took the Test

7 1
3 years ago
Read 2 more answers
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