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Pie
3 years ago
5

Please help for brainliest

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Given : \frac{\frac{4x}{5 + x}}{\frac{6x}{x + 2}}\\\\\implies \frac{4x}{5 + x}\times\frac{x + 2}{6x}\\\\\implies \frac{2}{x + 5}\times\frac{x + 2}{3}\\\\\implies \frac{2(x + 2)}{3(x + 5)}\\\\\implies \frac{2x + 4}{3x + 15}

Andreas93 [3]3 years ago
4 0
Sorry for the bad handwriting. Hope this helps!

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Answer:

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The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and
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Mean:

E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}

Variance:

\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}

Standard deviation:

\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}

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3 years ago
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