ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 128 - 134 of 165

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Question number: 128

» Probability » Conditional Probability

Appeared in Year: 2011

Essay Question▾

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Let (X, Y) have the uniform distribution over the range 0 < y· < x < 1. Obtain the conditional mean and variance of X given Y = y.

Explanation

… (30 more words) …

Question number: 129

» Numerical Analysis » Interpolation Formulae » Lagrange

Appeared in Year: 2012

Essay Question▾

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Solve the equation f (x) = 0 by using a suitable interpolation formula on the following values:

x

3

4

5

6

f (x)

-2.8

-1.2

-0.3

1.8

Explanation

… (12 more words) …

Question number: 130

» Probability » Standard Probability Distributions » Poisson

Appeared in Year: 2015

Essay Question▾

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Prove that for r = 1, 2, …, n

Explanation

… (60 more words) …

Question number: 131

» Statistical Methods » Non-Parametric Test » Sign

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Let the temperature before and after administration of aspirin be

Patient

Before

After

1

100·0

98·1

2

102·1

97·2

3

100·6

98·6

4

100·1

99·1

5

101·5

97·6

6

102

98·6

7

99·9

98·2

8

102·7

98·1

9

100.40

98·2

10

100·8

97.1

Test by the sign test; whether aspirin is effective in reducing temperature. What is the p-value of the calculated statistic?

Explanation

… (149 more words) …

Question number: 132

» Statistical Methods » Bivariate Distributions » Bivariate Normal Distribution

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Show that for discrete distribution β 2 > 1

Explanation

… (49 more words) …

Question number: 133

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2010

Essay Question▾

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How large a sample must be taken in order that the probability will be at least 0·95 that X n will be within 0·5 of µ (µ is unknown and σ = l).

Explanation

… (54 more words) …

Question number: 134

» Statistical Methods » Measures of Location

Appeared in Year: 2013

Essay Question▾

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Find the weighted arithmetic mean of the first ‘n’ natural numbers, the weights being the corresponding numbers.

Explanation

… (33 more words) …

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