GATE MA 2018 Paper 1 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

Let

be the real vector space of all continuous real valued functions on

, and let

be the linear operator on

given by

Then the dimension of the range space of

equals ________.

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Let

be such that the quadrature rule

is exact for all polynomials of degree less than or equal to 3. Then

________.

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Let

and

have joint probability density function given by

denotes the marginal probability density function of

, then

________.

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2018 · Paper 1