Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 40 - 43 of 109

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Question number: 40

» Probability » Probability Distributions » Normal

MCQ▾

Question

A factory produces chocolates which are N(4, 0.09), where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?

Choices

Choice (4) Response
a.

72

b.

90

c.

47

d.

86

Question number: 41

» Probability » Probability Distributions » Geometric

MCQ▾

Question

Geometric distribution satisfy which of the following property/properties?

Choices

Choice (4) Response
a.

Markov property & Memoryless property

b.

Memoryless property

c.

Markov property

d. Question does not provide sufficient data or is vague

Question number: 42

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

Out of 10 persons, what is the probability that 2 are poor, 5 are rich, 2 belongs to upper middle class and 1 belongs to lower middle class family? Assuming classification of individuals are independent event and the probability of being poor, rich, upper middle and lower middle are 1%,40%,20%and5% respectively.

Choices

Choice (4) Response
a.

1.54×10-5

b.

7.74×106

c.

7.74×105

d. All of the above

Question number: 43

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

Suppose that {Xn} and {Yn} are the sequence of independent Bernoulli distribution with parameter p and q respectively. Let {Zn} be a new process such that, Zn=max{Xn,Yn} . Then Zn will follow ________ distribution with P(Zn=1)= ________?

Choices

Choice (4) Response
a.

Bernoulli, max(p,q)

b.

Bernoulli, p+q

c.

Non Bernoulli, max(p,q)

d. None of the above

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