ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 245 - 248 of 404

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Question number: 245

» 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: 246

» 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: 247

» 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

Question number: 248

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

An n-dimensional rectangular box with sides X1,X2,,Xn is to be constructed. The volume is Vn=i=1nXi . The edge-length l of an n-cube with the same volume as the random box is l=Vn1/n . Let X1,X2,,Xn be i. i. d. uniform random variables over the interval [0,a]. Which of the following statements is/are correct regarding this?

Statements:

1) Expected edge length captures the idea of the volume of the box.

2) Expected edge length does not captures the idea of the volume of the box.

3) limnVn1/n<a2

Choices

Choice (4) Response

a.

1 and 3

b.

3

c.

2 and 3

d.

Question does not provide sufficient data or is vague

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