#probability density

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Probability 2

A random variable X has the density function f( x ) = K11 + x^2 , where -∞ < x < ∞. Then the value of K is

Understanding this is easy: solving fully: apply relevant formula, put numbers, compute. Result comes as 1/π. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XII — Probability

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Probability 2

If a continuous random variable has the following probability density function f( x ) = array*20c 2kx^4,;;0 x 1, 0,;;oth

We can see that we verify 5/2 by full calculation: use standard identity, substitute, simplify step by step to reach 5/2.

Ref: NCERT Mathematics Class XII — Probability

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#probability density

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A random variable X has the density function f( x ) = K11 + x^2 , where -∞ < x < ∞. Then the value of K is

If a continuous random variable has the following probability density function f( x ) = array*20c 2kx^4,;;0 x 1, 0,;;oth

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