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Zina [86]
3 years ago
9

At a certain time, the number of people that enter an elevator is a Poisson random variable with parameter λ. The weight of each

person is independent of other person’s weight, and is uniformly distributed between 100 and 200 lbs. Let Xi be the fraction of 100 by which the i th person exceeds 100 lbs, e.g., if the 7th person weighs 175 lbs, then X7 = 0.75. Let Y be the sum of the Xi .(a) Find MY(s).(b) Use MY(s) to find E[Y].(c) Verify your answer to part (b) by using the law of iterated expectations.

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer:

(a) MY(s) = e^λ(e^t-1/t - 1)

(b) E[Y] = λ/2

(c) E[Y] = λ/2

Step-by-step explanation:

See the attached file for explanation

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Consider the system of equations.
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The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

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Please help with this question?
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Step-by-step explanation:

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Cami and Enrique's ages add up to 46. Cami is two years older than three times Enrique's age. How old are Cami and Enrique?
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answer:

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Help with pre algebra
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Answer:

The y-axis.

Step-by-step explanation:

This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.

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2 years ago
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Which expression is not equivalent to the other three?
AVprozaik [17]

Answer:

<em>4 + 7x – 2</em>

Step-by-step explanation:

<u>Equivalent Expressions</u>

Let's find out which expressions are equivalent by simplifying them. One of the expressions should be not equivalent to the other three.

Simplifying

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Now for the second expression

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Finally, this is the simplification for the expression

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As seen, the only expression not equivalent to the other three is 4 + 7x – 2

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