Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 41 - 45 of 205

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Question number: 41

» Probability » Conditional Probability

MCQ▾

Question

Your neighbor has 2 children. You learn that he has a son, Rahul. What is the probability that Rahul’s sibling is a brother?

Choices

Choice (4) Response
a.

14

b.

12

c.

13

d. All of the above

Question number: 42

» Probability » Probability Distributions » Poisson

MCQ▾

Question

If water supply failures occur according to a Poisson distribution with an average of 5 failures every ten weeks, calculate the probability that there will not be more than one failure during a particular week

Choices

Choice (4) Response
a.

0.3526

b.

0.9097

c.

0.5192

d.

0.8153

Question number: 43

» Probability » Probability Distributions » Uniform

MCQ▾

Question

The amount of time, in minutes, that a person must wait for a bus is uniformly distribute between 5 and 20 minutes, inclusive. On the average, how long must person wait?

Choices

Choice (4) Response
a.

7.5 minutes

b.

12.5 minutes

c.

10 minutes

d. None of the above

Question number: 44

» 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.

59

b.

49

c.

1325

d. None of the above

Question number: 45

» 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.

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