Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 54 - 57 of 205

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Question number: 54

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

If X=(X1,X2,) is a Bernoulli trials process with parameter p , then 1X=(1X1,1X2,) will be ________with parameter________?

Choices

Choice (4) Response
a.

Bernoulli trials, p

b.

Bernoulli trials, 1- p

c.

Non- Bernoulli trials, 1p

d. All of the above

Question number: 55

» Probability » Discrete and Continuous Random Variables

MCQ▾

Question

Z is the number of reading sessions a randomly chosen public library offers in their literacy program for kids. Is the random variable Z discrete or continuous?

Choices

Choice (4) Response
a.

Discrete

b.

Continuous

c.

Sometime discrete sometime continuous

d.

Can’t say anything

Question number: 56

» Probability » Probability Distributions » Exponential

MCQ▾

Question

If X1,X2,,Xn be independent random variables, with Xi having an Exponential(λi) distribution. Then the distribution of min (X1,,Xn) is ________.

Choices

Choice (4) Response
a.

Exponential(λ1++λn)

b.

Exponential[1/(λ1++λn)]

c.

Exponential(1/λ1++1/λn)

d. None of the above

Question number: 57

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

Suppose that a student takes a multiple choice test. The test has 20 questions, each of which has 4 possible answers (only one correct). If the student blindly guesses the answer to each question, do the questions form a sequence of Bernoulli trials? What will be the parameter p (probability of giving correct answer)?

Choices

Choice (4) Response
a.

Yes and p=14

b.

No but p=14

c.

Can’t say anything

d.

Insufficient information.

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