Probability-Law of Total Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 5

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Question number: 1

» Probability » Law of Total Probability

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Patients are recruited onto the two arms (Control, Treatment) of a clinical trial. The probability that an adverse outcome occurs on the control arm is , and is for the treatment arm. Patients are allocated alternately onto the two arms, and their outcomes are independent. What is the probability that the first adverse event occurs on the control arm?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Probability » Law of Total Probability

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When a collection of events of a certain sample space (or population) S is called a partition?

Choices

Choice (4) Response

a.

.

b.

are mutually exclusive events.

c.

A and B holds.

d.

Question does not provide sufficient data or is vague

Question number: 3

» Probability » Law of Total Probability

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We roll a four sided die. If the result is 1 or 2, we roll once more but otherwise we stop. What is the probability that the sum total of our rolls is at least 4?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Probability » Law of Total Probability

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A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?

Choices

Choice (4) Response

a.

b.

c.

d.

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