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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

State whether the following statement is True or False: If f(x) = kx (1-x),for 0<x<1=0,otherwiseis the p.d.f. of a r.v. X, then k = 12 - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

If f(x) = `{:("k"x  (1 - x)",", "for"  0 < x < 1),(= 0",", "otherwise"):}`
is the p.d.f. of a r.v. X, then k = 12

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर

उत्तर

False

shaalaa.com
Probability Distribution of a Continuous Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.8: Probability Distributions - Q.3

संबंधित प्रश्‍न

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Find P(1 < X < 2),


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f(x) = `{(x/(8),  "for"  0 < x < 4),(0,  "otherwise."):}`

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Let X be the amount of time for which a book is taken out of library by a randomly selected student and suppose that X has p.d.f.

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Let X be the amount of time for which a book is taken out of library by a randomly selected student and suppose that X has p.d.f.

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Suppose X is the waiting time (in minutes) for a bus and its p. d. f. is given by

f(x) = `{(1/5,  "for"  0 ≤ x ≤ 5),(0,  "otherwise".):}`
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Suppose error involved in making a certain measurement is a continuous r. v. X with p.d.f.

f(x) = `{("k"(4 - x^2),  "for" -2 ≤ x ≤ 2),(0,  "otherwise".):}`
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compute P(–1 < X < 1)


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Solve the following problem :

Suppose error involved in making a certain measurement is a continuous r.v.X with p.d.f.

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      = 0,        otherwise

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