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lara31 [8.8K]
2 years ago
14

Read this E[2X^2 â€" Y].

Mathematics
1 answer:
djyliett [7]2 years ago
6 0

Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.

If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:

E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]

Or, if you're given the expectation and variance of <em>X</em>, you have

Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²

→   E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

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Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x \pi x 6² x 100 - 1/4 x \pi x 4² x 100

= 900 \pi - 400 \pi              { v = 1/4 \pi d²h }

= 500 \pi

= 500 x 3.14

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the mass of the pipe is:

1570 x 8 = 12560 grams

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