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3 years ago

I need to know what x equals

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

4 + 5(x + 2) = 7x

4 + 5x + 10 = 7x

5x - 7x = - 4 - 10

- 2x = - 14

- x = - 14/2

- x = - 7

x = 7

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Ann [662]

Answer:

Part A:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

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Step-by-step explanation:

Part A:

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It means:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

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Part B:

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Value of n=20

Part C:

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$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

By solving above Expression:

P(X=15)=0.17456

Part D:

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$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

P(X=15)=0.17456

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$P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536$

$P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153$

Now, Adding Probabilities:

$P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\$

P(X≥15)=0.80417

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Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

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