Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 94 - 95 of 109

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Question number: 94

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Maximum Likelihood estimator of lognormal distribution for a series of Xis(i=1, 2,,n) with parameters μR and σ(0,) are________.

Choices

Choice (4) Response
a.

μ^=i=1nln(Xi)n and σ2^=i=1n(ln(Xi)i=1nln(Xi)n)2n

b.

μ^=i=1nln(Xi) and σ2^=i=1n(exp(Xi)i=1nln(Xi))2n

c.

μ^=i=1nln(Xi)2n and σ2^=i=1n(ln(Xi)i=1nln(Xi)2n)2n

d. None of the above

Question number: 95

» Probability » Probability Distributions » Distributions of Functions of Random Variables

MCQ▾

Question

Suppose now that X and Y are real-valued random variables for an experiment, so that (X,Y) is random vector taking values in a subset of R2. Suppose that a,b,c,dR with a<b and c<d . Then P(a<Xb,c<Yd)= ________.

Choices

Choice (4) Response
a.

F(b,d)F(a,d)+F(b,c)F(a,c)

b.

F(b,d)+F(a,d)F(b,c)+F(a,c)

c.

F(b,d)F(a,d)+F(b,c)+F(a,c)

d.

F(b,d)F(a,d)F(b,c)+F(a,c)

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