Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 80 - 83 of 205

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Question number: 80

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

If Equation are counts in cells/boxes 1 up to m, each box have different probability Equation , and the fixed number of balls are Equation . Then what is maximum Likelihood of Multinomial Cell Probabilities?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 81

» Probability » Probability Distributions » Laplace

MCQ▾

Question

If Equation is a random sample of size 4 from a standard normal distribution. Then the Equation will follow ________

Choices

Choice (4) Response

a.

Laplace distribution.

b.

Exponential distribution

c.

Bivariate normal distribution.

d.

Question does not provide sufficient data or is vague

Question number: 82

» Probability » Probability Distributions » Uniform

MCQ▾

Question

If Equation are i. i. d. uniform onEquation , then if Equation . Then VarEquation is________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 83

» Probability » Law of Total Probability

MCQ▾

Question

Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer are α and β respectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. What is the probability that A wins if B answers the first question?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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