ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 236 - 239 of 461

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Question number: 236

» Probability » Probability Distributions » Exponential

MCQ▾

Question

Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 237

» Probability » Bayes' Theorem and Applications

MCQ▾

Question

Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hit-and-run taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?

Choices

Choice (4) Response

a.

Information insufficient.

b.

Yellow taxi Company should not be held liable.

c.

Yellow taxi Company should be held liable.

d.

Can’t make any claim.

Question number: 238

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

If has the standard Cauchy distribution, then will follow________.

Choices

Choice (4) Response

a.

A Student t distribution with 2 degree of freedom.

b.

A Chi-square distribution.

c.

A Laplace distribution.

d.

None of the above

Question number: 239

» Probability » Probability Distributions » Poisson

MCQ▾

Question

Which of the following statement is/are false regarding following curve?

Which is a correct statement regarding the given curves

Which is a Correct Statement Regarding the Given Curves

Find the correct statement as regards to these curves.

Choices

Choice (4) Response

a.

D have smallest value of λ.

b.

All can follow Poisson distribution.

c.

A have smallest value of λ.

d.

All of the above

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