Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 191 - 193 of 205

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Question number: 191

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

A hen lays Equation eggs, where Equation . Each egg hatches with probability Equation , independently of the other eggs. Find the probability distribution of number of chicks, Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 192

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

Let Equation be a ramdom variable Equation and Equation . A sample of size Equation is taken from this population. What is the probability that the sum of these Equation observations is less than Equation ?

Choices

Choice (4) Response

a.

Equation

b.

0.0062

c.

Equation

d.

Equation

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 Equation and standard deviation Equation . Suppose that few hours before the start of one of these matches there are Equation eager students standing in line to purchase tickets. If only Equation tickets remain, what is the probability that all Equation 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

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