Probability-Central Limit Theorems for Independent Variables (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 4 - 6 of 6

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Question number: 4

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

Suppose that you have a sample of Equation values from a population with mean Equation and standard deviationEquation . What is the probability that the sample mean will be in the interval Equation ?

Choices

Choice (4) Response

a.

0.1056

b.

0.8944

c.

0.7888

d.

0.2112

Question number: 5

» 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: 6

» 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 deviationEquation . 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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