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The following is the p.d.f. of continuous r.v. f (x) = x8 , for 0 < x < 4 and = 0 otherwise. Find F(x) at x = 0·5 , 1.7 and 5 - Mathematics and Statistics

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प्रश्न

The following is the p.d.f. of continuous r.v.

f (x) = `x/8` , for 0 < x < 4 and = 0 otherwise.

Find F(x) at x = 0·5 , 1.7 and 5

योग

उत्तर

F(0.5) =`F(1/2) = (1/2)^2/16 = 1/64`

F(1.7) = `(1.7)^2/16 = 2.89/16 = 0.18`

f (x) = `x/8` , for 0 < x < 4 and 5 > 4

∴ F(5) = 1.

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Types of Random Variables
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अध्याय 7: Probability Distributions - Exercise 7.2 [पृष्ठ २३९]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 7 Probability Distributions
Exercise 7.2 | Q 8.2 | पृष्ठ २३९

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