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Allushta [10]
3 years ago
6

If a number is added to itself and the sum is multipled by 2 , the product is 4

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
The number is 1

1 + 1 = 2

2(2) = 4

1 is your answer

hope this helps
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A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th
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Step-by-step explanation:

The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.

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The repair cost of the item is given by:

C=3X^{2}+X+2

Compute the expected cost of repair as follows:

E(C)=E(3X^{2}+X+2)

        =3E(X^{2})+E(X)+2

Compute the expected value of <em>X</em> as follows:

E(X)=np

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The expected value of <em>X</em> is 0.36.

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

V(X)=np(1-p)

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The variance of <em>X</em> is 0.3276.

The variance can also be computed using the formula:

V(X)=E(Y^{2})-(E(Y))^{2}

Then the formula of E(Y^{2}) is:

E(Y^{2})=V(X)+(E(Y))^{2}

Compute the value of E(Y^{2}) as follows:

E(Y^{2})=V(X)+(E(Y))^{2}

          =0.3276+(0.36)^{2}\\=0.4572

The expected repair cost is:

E(C)=3E(X^{2})+E(X)+2

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Thus, the expected repair cost is $3.73.

4 0
3 years ago
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