ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 275 - 277 of 471

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Question number: 275

» Probability » Bayes' Theorem and Applications

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MCQ▾

Question

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

Question number: 276

» Probability » Probability Distributions » Negative Binomial

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In a sequence of independent Bernoulli trails, if denotes the number of failures before (fixed) success, then the expected value of will be ________

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 277

» Probability » Probability Distributions » Poisson

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Twenty sheets of copper alloy were examined for surface flaws. The frequency of the number of sheets with a given number of flaws per sheet was as follows:

Table shows the number of flaws and frequency

Find out the probability

Number of flaws

Frequency

0

4

1

3

2

5

3

2

4

4

5

1

What is the probability of finding a sheet chosen at random which contains 3 or more surface flaws?

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague