Probability-Tchebycheffs Inequality (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1 - 5 of 5

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Question number: 1

» Probability » Tchebycheffs Inequality

Appeared in Year: 2014

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Show that for 40, 000 throws of a balanced coin, the probability is at least 0·99 that the proportion of heads will fall between 0·475 and 0·525.

Explanation

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Question number: 2

» Probability » Tchebycheffs Inequality

Appeared in Year: 2013

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Let X be a random variable with E [X] = 4 and E [X 2] = 20. Use Chebyshev’s inequality to determine a lower bound for the probability P [0 < x < 8].

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Question number: 3

» Probability » Tchebycheffs Inequality

Appeared in Year: 2011

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Let X be a positive valued random variable. Prove that

Hence deduce the Chebychev’s inequality.

Explanation

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Question number: 4

» Probability » Tchebycheffs Inequality

Appeared in Year: 2015

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Let X be a random variable with E [X] = 3 and E [X 2] = 13. Use Chebyshev’s inequality to obtain P [-2 < X < 8].

Explanation

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Question number: 5

» Probability » Tchebycheffs Inequality

Appeared in Year: 2009

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Let X ~ BIN (100, 0·2). Compute P [10 ≤ X ≤ 30].

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