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igomit [66]
3 years ago
12

(4 x 10^2) + 120.5 What’s the answer to this

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

520.5

Step-by-step explanation:

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Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random with replace
Dafna1 [17]

The Expected value of XX is 1.00.

Given that a box contains 8 cameras and that 4 of them are defective and 2 cameras is selected at random with replacement.

The probability distribution of the hypergeometric is as follows:

P(x,N,n,M)=\frac{\left(\begin{array}{l}M\\ x\end{array}\right)\left(\begin{array}{l}N-M\\ n-x\end{array}\right)}{\left(\begin{array}{l} N\\ n\end{array}\right)}

Where x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.

The probability distribution for X is obtained as below:

From the given information, let X be a random variable, that denotes the number of defective cameras following hypergeometric distribution.

Here, M = 4, n=2 and N=8

The probability distribution of X is obtained below:

The probability distribution of X is,

P(X=x)=\frac{\left(\begin{array}{l}5\\ x\end{array}\right)\left(\begin{array}{l}8-5\\ 2-x\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}

The probability distribution of X when X=0 is

\begin{aligned}P(X=0)&=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}8-4\\ 2-0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}4\\ 2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-0)!0!}\right)\times \left(\frac{4!}{(4-2)!2!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end

The probability distribution of X when X=1 is

\begin{aligned}P(X=1)&=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}8-4\\ 2-1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}4\\ 1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-1)!1!}\right)\times \left(\frac{4!}{(4-1)!1!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.57\end

The probability distribution of X when X=2 is

\begin{aligned}P(X=2)&=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}8-4\\ 2-2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}4\\ 0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-2)!2!}\right)\times \left(\frac{4!}{(4-0)!0!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end

Use E(X)=∑xP(x) to find the expected values of a random variable X.

The expected values of a random variable X is obtained as shown below:

The expected value of X is,

E(X)=∑xP(x-X)

E(X)=[(0×0.21)+(1×0.57)+(2×0.21)]

E(X)=[0+0.57+0.42]

E(X)=0.99≈1

Hence, the binomial probability distribution of XX when X=0 is 0.21, when X=1 is 0.57 and when X=2 is 0.21 and the expected value of XX is 1.00.

Learn about Binomial probability distribution from here brainly.com/question/10559687

#SPJ4

8 0
2 years ago
Which statement is true?
Karo-lina-s [1.5K]

Answer:

A parallelograms are rectangles

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3 years ago
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A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on the top, where the radi
notsponge [240]

Answer:

The radius of the silo should be 16\ ft

Step-by-step explanation:

we know that

The volume of the grain silo is equal to the volume of the cylinder plus the volume of a hemisphere

V=\pi r^{2} h+\frac{4}{6}\pi r^{3}

we have

V=35,500\pi\ ft^{3}

h=4D=8r

substitute the values and solve for r

35,500\pi=\pi r^{2} (8r)+\frac{4}{6}\pi r^{3}

Simplify

35,500=r^{2} (8r)+\frac{4}{6}r^{3}

35,500=8r^{3}+\frac{2}{3}r^{3}

35,500=\frac{26}{3}r^{3}

r^{3}=35,500*(3)/26

r=16\ ft

5 0
3 years ago
What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?
lianna [129]

<em>/Hello!</em>

<u><em>See below</em></u>

<em>We need to find x. X being the answer to 1/9 divided by 12.</em>

<em>1/9÷12=1/108. </em>

  • <em>=1×1/9×12</em>
  • <em>=11/08</em>
  • <em>=1/108</em>

<em>Now that we know what "x" equals, we can divide the others.</em>

<em>1/9x12=1 and  3/9 ------simplifed is------1 and 1/3</em>

<em>Convert any mixed numbers to fractions</em>

<em>.</em>

<em>Then your initial equation becomes:</em>

<em>1/9×12/1</em>

<em>Applying the fractions formula for multiplication,</em>

<em>=1×12/9×1</em>

<em>=12/9</em>

<em>Simplifying 12/9, the answer is</em>

<em>=1 and 1/3</em>

This is not correct.

1/9×1/12

Applying the fractions formula for multiplication,

=1×1/9×1/2

=1/108

This is correct.

Therefore, your answer is B. 1/9 x 1/12

Brainliest.

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The usual toll charge over a bridge is $1.50. If you purchase a special sticker for $10.50, the charge is $0.80. At least how ma
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I believe a minimum of 7 trips over the bridge is required. 

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