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Lesechka [4]
3 years ago
10

"explain how you know" and i will give brainliest:)

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

Step-by-step explanation:

first one is 9,14 the second one is 1,3 and the last one is 1, -3

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Find the cdf F(x) associated with each of the following probability density functions. Sketch the graphs of f(x) and F(x).
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Answer:

See steps below

Step-by-step explanation:

a)

\bf f(x)=3(1-x)^2\;(0

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The cdf associated with f is

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<h3>See picture 1 </h3>

The median is a point x such that

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b)

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The cdf associated with f is

\bf \boxed{F(x)=1-\frac{1}{x}} for x>1

<h3>See picture 2 </h3>

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\bf 1-\frac{1}{x}=\frac{1}{2}\rightarrow \boxed{x=2}

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\bf 1-\frac{1}{x}=\frac{1}{4}\rightarrow \boxed{x=4/3}

c)

f(x) = 1/3 for 0<x<1 or 2<x<4

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\bf F(x)=\frac{1}{3}+\int_{2}^{x}\frac{dt}{3}=\frac{1}{3}+\frac{x-2}{3}=\frac{x-1}{3}\;(2

The cdf associated with f is

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<h3>See picture 3 </h3>

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\bf \frac{x-1}{3}=1/2\rightarrow x=1+3/2\rightarrow \boxed{x=5/2}

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