HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Explain the terms probability density function

Explain the terms probability distribution function

What are the properties of discrete random variable

What are the properties of continuous random variable?

State the properties of distribution function.

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A variable that can assume any possible value between two points is called

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A formula or equation used to represent the probability distribution of a continuous random variable is called

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If c is a constant, then E(c) is

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If c is a constant in a continuous probability distribution, then p(x = c) is always equal to

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If the random variable takes negative values, then the negative values will have

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If we have f(x) = 2x, 0 ≤ x ≤ 1, then f(x) is a

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Which one is not an example of random experiment?

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A set of numerical values assigned to a sample space is called

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A variable which can assume finite or countably infinite number of values is known as

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The probability function of a random variable is defined as

Then k is equal to

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A discrete probability function p(x) is always

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In a discrete probability distribution, the sum of all the probabilities is always equal to

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The probability density function p(x) cannot exceed

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The height of persons in a country is a random variable of the type

The probability function of a random variable X is given by
p(x) = `{{:(1/4",",  "for"  x = - 2),(1/4",",  "for"  x = 0),(1/2",",  "for"  x = 10),(0",",  "elsewhere"):}`
Evaluate the following probabilities
P(X ≤ 0)