Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 16 - 19 of 205

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Question number: 16

» Probability » Probability Distributions » Exponential

MCQ▾

Question

The moment generating function of an exponential random variable X with parameter λ (for t < 1/λ) is:

Choices

Choice (4) Response
a.

λt1λt

b.

11λt

c.

λ1λt

d. All of the above

Question number: 17

» Probability » Probability Distributions » Normal

MCQ▾

Question

Suppose marks of students in a test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a student who gives the test will score between 90 and 110?

Choices

Choice (4) Response
a.

0.84

b.

0.68

c.

0.16

d. All of the above

Question number: 18

» Probability » Law of Total Probability

MCQ▾

Question

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 x , and is y 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.

yx+y

b.

yx+yxy

c.

xx+y

d.

xx+yxy

Question number: 19

» Probability » Conditional Probability

MCQ▾

Question

In describing the survival rate and life expectancy in a certain population, let AN denote the event of reaching the age of N years and P(N)=(AN) be the corresponding probability. If P(50)=0.913,P(55)=0.881,P(65)=0.746 then, what is the probability that a 50 years old will die within 5 years?

Choices

Choice (4) Response
a.

0.253

b.

0.035

c.

0.965

d. Question does not provide sufficient data or is vague

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