Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 21 - 25 of 109

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Question number: 21

» 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: 22

» 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: 23

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

If X has the standard Cauchy distribution, then Y=1X 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: 24

» 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

Question number: 25

» Probability » Probability Distributions » Normal

MCQ▾

Question

A manufacturer does not know the mean and SD of the diameter of a ball bearing he is producing. However, a machine rejects all bearings larger than 2.5 cm and those under 2 cm in diameter. Out of 5000 ball bearings 9 % are rejected as too small and 6.5 % as too big. What is the mean and standard deviation of the ball bearings produced?

Choices

Choice (4) Response

a.

μ=2.23andσ=0.175

b.

μ=1.35andσ=0.151

c.

μ=2.08andσ=0.194

d.

All of the above

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