# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 273 - 275 of 472

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## Question 273

### Question

MCQ▾

If are i. i. d. uniform on , then if . Then Var is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 274

### Question

MCQ▾

Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer are α and β respectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. What is the probability that A wins if B answers the first question?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 275

### Question

MCQ▾

Suppose a certain drug test is 99 % sensitive and 99 % specific, that is, the test will correctly identify a drug user as testing positive 99 % of the time, and will correctly identify a non-user as testing negative 99 % of the time. Let՚s assume a corporation decides to test its employees for drug use, and that only 0.5 % of the employees actually use the drug. The probability that, given a positive drug test, an employee is actually a drug user is conducted using Bayes ‘theorem. Can we say Bayes’ theorem gives correct result?

### Choices

Choice (4)Response

a.

Not always

b.

Yes always

c.

Can ′ t make any claim

d.

Information insufficient