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

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A discrete probability function p(x) is always non-negative and always lies between

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The distribution function F(x) is equal to

Prove that if E(X) = 0, then V(X) = E(X²)

What is the expected value of a game that works as follows: I flip a coin and if tails pay you ₹ 2; if heads pay you ₹ 1. In either case, I also pay you ₹ 0.50

Prove that V(aX) = a²V(X)

Prove that V(X + b) = V(X)

The time to failure in thousands of hours of an important piece of electronic equipment used in a manufactured DVD player has the density function
f(x) = `{{:(2"e"^(-2x)",",  x > 0),(0",",  "otherwise"):}`
Find the expected life of this piece of equipment

Mention two branches of statistical inference

What is an estimator?

What is an estimate?

What is point estimation?

What is interval estimation?

What is confidence interval?

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The method of obtaining the most likely value of the population parameter using statistic is called ______

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An estimator is a sample statistic used to estimate a

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______  is a relative property, which states that one estimator is efficient relative to another

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If probability `"P"[|vectheta - theta| < ε] -> 1` as `"n" -> oo` for any positive ε then `vectheta` is said to ______ estimator of `theta`

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An estimator is said to be ______ if it contains all the information in the data about the parameter it estimates

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An estimate of a population parameter given by two numbers between which the parameter would be expected to lie is called an ______ interval estimate of the parameter

Define Index Number