Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 161 - 162 of 205

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Question number: 161

» Probability » Inversion

MCQ▾

Question

Let (.) be the characteristic function of a probability measure μ on R . If a<b, then the inversion formula is ________.

Choices

Choice (4) Response

a.

limT12πTTeit(ab)it(t)dt=μ({a})μ({b})2

b.

limT12πTTeitaeitbit(t)dt=μ((a,b))+μ({a})+μ({b})2

c.

limT12πTTeitaeitbit(t)dt=μ((a,b))+μ({a})μ({b})2

d.

limT12πTTeit(ab)it(t)dt=μ((a,b))

Question number: 162

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

A large freight elevator can transport a maximum of 9800 pounds. Suppose a load of cargo containing 49 boxes must be transported via the elevator. Experience has shown that the weight of boxes of this type of cargo follows a distribution with mean μ=205 pounds and standard deviation σ=15 pounds. Based on this information, what is the probability that all 49 boxes can be safely loaded onto the freight elevator and transported?

Choices

Choice (4) Response

a.

0.0652

b.

0.9901

c.

0.0099

d.

0.9348

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