# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 208 - 211 of 471

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## Question number: 208

» Probability » Probability Distributions » Exponential

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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.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 209

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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 , 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: 210

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MCQ▾

### Question

In describing the survival rate and life expectancy in a certain population, let denote the event of reaching the age of years and be the corresponding probability. If then, what is the probability that a 50 years old will die within 5 years?

### Choices

Choice (4) Response

a.

b.

0.965

c.

0.253

d.

All of the above

## Question number: 211

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MCQ▾

### Question

Let X be a continuous random variable with the following PDF

where, is a positive constant. The value of is?

### Choices

Choice (4) Response

a.

1

b.

c.

2

d.

All of the above