Solved Probability and Probability Distributions

Probability and Probability Distributions MCQs for Competitive Exams

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Topic Notes: Probability and Probability Distributions

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Probability and Probability Distributions MCQs in Commerce are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

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101

In the context of Bayes' Theorem, how are prior probabilities classified after they have been updated based on newly acquired information?

interior probabilities

independent probabilities

dependent probabilities

posterior probabilities

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102

Which of the following characteristics accurately describes a standard normal curve?

Only 2

Only 1

Both 1 and 2

None of the above

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103

What percentage of data falls within the range of the mean plus or minus two standard deviations in a normal distribution?

94.45%

95.54%

95.45%

99.73%

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104

Arrange the historical development of the normal distribution in chronological order: 1. De Moivre discovered it. 2. Laplace applied it to science. 3. Gauss developed and utilized it.

2, 1, 3

3, 1, 2

1, 2, 3

2, 3, 1

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105

What is the formula for the moment coefficient of skewness for a binomial distribution?

$$\frac{{p - q}}{{npq}}$$

$$\frac{{{{\left( {q - p} \right)}^2}}}{{npq}}$$

$$\frac{{q - p}}{{npq}}$$

$$\frac{{{{\left( {p - q} \right)}^2}}}{{npq}}$$

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106

Which of the following characteristics is true for a Poisson probability distribution?

it always contains a contingency table

the probability of success is alwaysgreater than 5

the mean and variance of the distribution are the same (equal)

the number of trials is always less than 5

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107

If two events with non-zero probabilities are mutually exclusive, what is their relationship regarding complementarity?

None of the above

They also could be complements

They also must be complements

They cannot be complements

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108

According to the relative frequency approach, how is the probability P(X) defined?

$$\mathop {\lim }\limits_{n \to \infty } \frac{n}{{{n_x}}}$$

$$\mathop {\lim }\limits_{n \to \infty } \frac{{{n_x}}}{n}$$

$$\mathop {\lim }\limits_{n \to 0} \frac{{{n_x}}}{n}$$

None of these

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109

In a normal distribution the points of inflexion occur at . . . . . . . .

$$\overline X + 2\sigma $$

$$\overline X + 3\sigma $$

$$\overline X + \sigma $$

None of these

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110

If 'm' represents the mean of a Poisson distribution, what is the formula for its standard deviation?

$$\frac{{\text{m}}}{2}$$

√m

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Probability and Probability Distributions MCQs for Competitive Exams

Probability and Probability Distributions MCQs for Competitive Exams

Topic Notes: Probability and Probability Distributions

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