Mathematics, 28.10.2020 16:40, christinapim

g About 52% of American adults live in middle-income households. Suppose a sample of 20 American adults is selected. Let X be the number of adults from the sample that live in middle-income households. What is the probability distribution of X

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answered: kbarnes22

P (x= 0) = 0.00384

P (x= 1) = 0.000009133

P (x= 2) = 0.00009399

P (x= 3) = 0.0061

P (x= 4) = 0.00281

P (x= 5) = 0.00975

P (x= 6) = 0.0264

P (x= 7) = 0.05772

P (x= 8) = 0.0202

P (x= 9) = 0.14550

P (x= 10) = 0.1733

P (x= 11) = 0.17077

P (x= 12) = 0.138751

P (x= 13) = 0.0925

P (x= 14) = 0.0501

P (x= 15) = 0.0217

P (x= 16) = 0.00735

P (x= 17) = 0.00187

P (x= 18) = 0.000259

P (x= 19) = 2 0.0000385

P (x= 20) =0.000000208

Step-by-step explanation:

This is a binomila probability distribution as the success and failure are same and number of trials is fixed.

Here p =0.52 and q= 1-0.52= 0.48

n= 20 Now the probability distribution of X = 0,1,2,20

Applying the binomial distribution we can find the probability distribution of X taking the different values as

P (x= 0) = 20c0 (0.52)^0 (0.48)^20= 0.00384

P (x= 1) = 20c1 (0.52)^1 (0.48)^19= 0.000009133

P (x= 2) = 20c2 (0.52)^2 (0.48)^18= 0.00009399

P (x= 3) = 20c3 (0.52)^3 (0.48)^17= 0.0061

P (x= 4) = 20c4 (0.52)^4 (0.48)^16= 0.00281

P (x= 5) = 20c5 (0.52)^5 (0.48)^15= 0.00975

P (x= 6) = 20c6 (0.52)^6 (0.48)^14= 0.0264

P (x= 7) = 20c7 (0.52)^7 (0.48)^13= 0.05772

P (x= 8) = 20c8 (0.52)^8 (0.48)^12= 0.0202

P (x= 9) = 20c9 (0.52)^9 (0.48)^11= 0.14550

P (x= 10) = 20c10 (0.52)^10 (0.48)^10= 0.1733

P (x= 11) = 20c11 (0.52)^11 (0.48)^9= 0.17077

P (x= 12) = 20c12 (0.52)^12 (0.48)^8= 0.138751

P (x= 13) = 20c13 (0.52)^13 (0.48)^7= 0.0925

P (x= 14) = 20c14 (0.52)^14 (0.48)^6= 0.0501

P (x= 15) = 20c15 (0.52)^15 (0.48)^5= 0.0217

P (x= 16) = 20c16 (0.52)^16 (0.48)^4= 0.00735

P (x= 17) = 20c17 (0.52)^17 (0.48)^3= 0.00187

P (x= 18) = 20c18 (0.52)^18 (0.48)^2= 0.000259

P (x= 19) = 20c19 (0.52)^19 (0.48)^1= 0.0000385

P (x= 20) = 20c20 (0.52)^20 (0.48)^0= 0.000000208

answered: Guest

Iwould say rat and vsu but i’m not 100% sure

answered: Guest

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: $\sqrt{\frac{ {72x}^{16} }{ {50x}^{{{36} }}}} = \frac{ { \sqrt{72}x}^{ {16}^{ (\frac{1}{2}) } } }{ { \sqrt{50} x}^ {{36}^{ (\frac{1}{2}) } }}$ multiply exponents per exponent rules to get: $\frac{ { \sqrt{72}x}^{8} }{ { \sqrt{50}x}^{18} }$ remember you subtract exponents from the denominator and add exponents in the numerator so: $\sqrt{ \frac{72}{ 50}} \times ( {x}^{(8 - 18) } ) = \sqrt{ \frac{36}{25} } \times ( {x}^{ - 10} )$ simplify further: $\frac{6}{5} {x}^{ - 10} = \frac{6}{5 {x}^{10} }$ so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.
Plz hurrywhat is the simplified form of ? assume x ≠ 0.