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DaniilM [7]
3 years ago
6

A sociologist is analyzing Social Security data. The number of individuals in the sample is 5. The probability that an individua

l receives Social Security is 20%. What is the probability that exactly 3 of the 5 individuals receive Social Security? 0.0512 0.0305 0.6125 0.1024
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

0.0512

Step-by-step explanation:

For each individual, there are only two possible outomes. Either he receives Social Security, or he does not. The probability of an individual receiving Social Security is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The number of individuals in the sample is 5.

This means that n = 5

The probability that an individual receives Social Security is 20%.

This means that p = 0.2

What is the probability that exactly 3 of the 5 individuals receive Social Security?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{5,3}.(0.2)^{3}.(0.8)^{2} = 0.0512

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Morgarella [4.7K]

Answer:

This is not possible

Step-by-step explanation:

The only way you get this is if you plug it into the calculator without placing parenthesis around -4

For example:

-4^2 = -16 while (-4)^2= 16

When doing math it is common knowledge that when two negative numbers are multiplied together the negative sign will cancel out and turn into a positive product.

----

Also -4*-4 is the same as -4^2 just written differently

7 0
3 years ago
Read 2 more answers
Please help me with this
kompoz [17]

Answer:

V of cylinder = V=πr^2h

V of rectangular prism = l*w*h

V of cylinder = 16 * 3.14 * 8

                      = <em><u>401.92</u></em>

V of rectangular prism = 14 * 8 * 12

                                      = <em><u>1344</u></em>

<em><u>Add = 401.92 + 1344</u></em>

<em><u>        = 1,745.92</u></em>

<h2><em><u>1,745.92 is the answer.</u></em></h2><h2><em><u>Rounded the answer is C</u></em></h2>
4 0
3 years ago
What are all the roots of the equation x^2+6x-9
frez [133]

Answer:

x = - 3 ± 3\sqrt{2}

Step-by-step explanation:

given the equation x² + 6x - 9 = 0

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with a = 1, b = 6 and c = - 9

x = ( - 6 ± \sqrt{6^2-(4(1)(-9)} ) / 2

  = ( - 6 ± \sqrt{36+36} ) / 2

  = ( - 6 ± \sqrt{72} ) / 2

  = ( - 6 ± 6\sqrt{2} ) / 2

x = - 3 ± 3\sqrt{2}


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3 years ago
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Dafna1 [17]
0.044 as a fraction is 44/1000

Simplified is 11/250

So your answer is 11/250

Hope I Helped You!!!
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Find the missing lengths in the triangle, if y = 34.10.
joja [24]

Answer:

11.36

Step-by-step explanation:

3 0
3 years ago
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