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Sedbober [7]
2 years ago
6

to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a

give the moment-generating function for y. b derive the moment-generating function of w
Mathematics
1 answer:
Elis [28]2 years ago
6 0

The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of  moment-generating function of y is e-1/t

Given that,

The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.

The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)

The given interval is (0,1)

Here a =0;

         b=1;

Now substitute the values of a and b in the above moment generating function we get,

y=eⁿᵇ - eⁿᵃ / n(b-a)

y=e^1-e^0/t(1-0)

y= e-1/t

Therefore, the derivation of the moment generating function is e-1/t

Learn more about moment-generating function here:

brainly.com/question/15061360

#SPJ4

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Answer:

They started at 4:45 pm

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They started at 4:45 pm

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tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

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1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

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Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

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