3 years ago

Place a check mark next to each equivalent expression

Mathematics

1 answer:

anygoal [31]3 years ago

8 0

If you simplify the expression, you will get A, E and D

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2 years ago

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Answer:

c) 2

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Step-by-step explanation:

We are given the following in the question:

$f(x) = 2x^{-3}, x > 1\\~~~~~~~= 0, x \leq 1$

a) probability density function.

$\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1$

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b) cumulative distribution function.

$P(X$

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$\mu = \displaystyle\int^{\infty}_{-\infty}xf(x) dx\\\\\mu = \int^{\infty}_12x^{-2}dx\\\\\mu = (-\frac{2}{x})^{\infty}_{1}\\\\\mu = 2$

d) probability that the size of random particle will be less than 5 micrometers

$P(X$

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2 years ago

Allen started to save money from his daily allowance. In the first week he saved $5.8 and every next week $3.6 more than the pre

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