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

Define Mathematical expectation in terms of discrete random variable

State the definition of Mathematical expectation using continuous random variable

In a business venture a man can make a profit of ₹ 2,000 with a probability of 0.4 or have a loss of ₹ 1,000 with a probability of 0.6. What is his expected, variance and standard deviation of profit?

The number of miles an automobile tire lasts before it reaches a critical point in tread wear can be represented by a p.d.f.
f(x) = `{{:(1/30 "e"^(- x/30)",",  "for"  x > 0),(0",",  "for"  x ≤ 0):}`
Find the expected number of miles (in thousands) a tire would last until it reaches the critical tread wear point

A person tosses a coin and is to receive ₹ 4 for a head and is to pay ₹ 2 for a tail. Find the expectation and variance of his gains

Let X be a random variable and Y = 2X + 1. What is the variance of Y if variance of X is 5?

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Value which is obtained by multiplying possible values of a random variable with a probability of occurrence and is equal to the weighted average is called

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Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. Profit per unit is 0.50 paisa then expected profits for three days are

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Probability which explains x is equal to or less than a particular value is classified as

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Given E(X) = 5 and E(Y) = – 2, then E(X – Y) is

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If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to

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Which of the following is not possible in probability distribution?

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A discrete probability distribution may be represented by

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A probability density function may be represented by

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E[X – E(X)] is equal to

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E[X – E(X)]² is

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`int_(-oo)^oo` f(x) dx is always equal to

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A listing of all the outcomes of an experiment and the probability associated with each outcome is called

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If p(x) = `1/10`, x = 10, then E(X) is

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An expected value of a random variable is equal to it’s