Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 192 - 194 of 205

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Question number: 192

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

Let X be a ramdom variable μ=10 and σ=4 . A sample of size 100 is taken from this population. What is the probability that the sum of these 100 observations is less than 900 ?

Choices

Choice (4) Response

a.

0.2232

b.

0.0062

c.

0.5356

d.

0.9900

Question number: 193

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

From past experience, it is known that the number of tickets purchased by a student standing in line at the ticket window for the cricket match of India against Srilanka follows a distribution that has mean μ=2.4 and standard deviation σ=2.0 . Suppose that few hours before the start of one of these matches there are 100 eager students standing in line to purchase tickets. If only 250 tickets remain, what is the probability that all 100 students will be able to purchase the tickets they desire?

Choices

Choice (4) Response

a.

0.9905

b.

0.3085

c.

0.6915

d.

0.0095

Question number: 194

» Probability » Laws of Large Numbers

MCQ▾

Question

Suppose we choose at random n numbers from the interval [0, 1] with uniform distribution. If Xi describes the i th choice and Sn=X1++Xn , then which of the following is correct?

Choices

Choice (4) Response

a.

limnP( Snn12 <ϵ)=0

b.

limnP( Snn12 ϵ)=0

c.

limnP( Snn72 ϵ)=0

d.

limnP( Snn32 ϵ)=0

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