Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 50 - 53 of 205

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Question number: 50

» Probability » Classical and Axiomatic Definitions

MCQ▾

Question

There are 30 people in a room. What is the probability that any two of them celebrate their birthday on the same day? Assume 365 days in a year.

Choices

Choice (4) Response

a.

0.08

b.

0.5

c.

More than 0.5

d.

Less than 0.5

Question number: 51

» Probability » Bayes' Theorem and Applications

MCQ▾

Question

Suppose a man have two bags each containing black and white balls. One bag contains three times as many white balls as blacks. The other bag contains three times as many black balls as white. Suppose he choose one of these bags at random. From that bag he select five balls at random, replacing each ball after it has been selected. He found 4 white balls and one black in the result. What is the probability that he was using the bag with mainly white balls?

Choices

Choice (4) Response

a.

0.823

b.

0.900

c.

0.964

d.

Question does not provide sufficient data or is vague

Question number: 52

» Probability » Distribution Functions and Properties

MCQ▾

Question

Which of the following statement is/are incorrect regarding a cumulative distribution function F ?

Choices

Choice (4) Response

a.

F can have only jump discontinuities.

b.

F is continuous from the right.

c.

F have countable number of discontinuities.

d.

None of the above

Question number: 53

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

If X=(X1,X2,,Xk)~Mult(n,π) where, π=(π1,π2,,πk) then, X*=(X1+X2+X3,X4,Xk)~ ________.

Choices

Choice (4) Response

a.

Bin(n,π)whereπ=(π1+π2+π33+π4++πkn)

b.

Bin(n,π)whereπ=(π1+π2+π33+π4++πk)

c.

Bin(n,π)whereπ=(π1+π2++πk)k

d.

None of the above

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