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RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS MCQs

Free 44+ RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS — MCQs for Pakistan government job tests

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RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS

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1.What determines the shape of a Poisson distribution?

2.What is the shape of a binomial distribution when the probabilities of success and failure are equal (p = q)?

3.Given that p = 0.6 and q = 0.4, what is the shape of the binomial distribution?

4.Which probability distribution describes the count of successful events occurring within a fixed time period?

5.Which probability distribution describes the waiting time between two consecutive successes?

6.Which of the following terms can also be used to refer to the explanatory variable?

7.Which statement correctly describes the cumulative distribution function (CDF) of a random variable X?

8.In statistics, what must a random variable always have?

9.What is the total area beneath the curve of a probability density function?

10.Given the expression E(ax + b), how can it be rewritten in terms of E(x)?

11.What is the expected value of the random variable E(ax)?

12.What type of data is represented by the duration an athlete takes to complete a 400-mile race in the SAF games?

13.If X is a random variable, the variance Var(X) is defined as E[(X - E[X])²]. Which of the following expressions correctly represents this formula?

14.Which numbers are considered the fundamental random digits?

15.What is the expected value of the sum x + y equal to?

16.What term describes an experiment where the results differ each time it is conducted?

17.Random numbers are utilized to choose which of the following?

18.A random variable is defined as one whose value depends on the result of which of the following?

19.What is another term for random numbers?

20.What term describes a continuous random variable that can take any value within a specified range?

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