If the occurrence of one event precludes the occurrence of another, the events are: MCQ with Answer and Explanation

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If the occurrence of one event precludes the occurrence of another, the events are:

A. Independent

B. Equally likely

C. Exhaustive

D. Mutually Exclusive

Answer: Option D

Solution (By JKSSB Mock Tests)

Mutually exclusive means disjoint events; if one happens, the other definitively cannot.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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In a binomial distribution with n=5 and p=0.4, the probability of exactly 2 successes is:

A. 0.2304

B. 0.5

C. 0.4

D. 0.3456

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Correct Answer: Option D

Explanation:
C(5,2)(0.4)^2(0.6)^3 = 10 × 0.16 × 0.216 = 0.3456.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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If each value in a dataset is increased by 10, which of the following measures remains unchanged?

A. Range

B. Median

C. Mean

D. First quartile

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Correct Answer: Option A

Explanation:
Range depends on difference between max and min; both increase by 10, so range unchanged.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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For a skewed distribution, which measure of central tendency is generally MOST resistant to extreme values?

A. Arithmetic mean

B. Geometric mean

C. Mode

D. Median

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Correct Answer: Option D

Explanation:
The median is the middle value when data is ordered, making it less affected by outliers or extreme values compared to the mean, which incorporates all values in its calculation.

This question belongs to: Accountancy and Statistics Statistics

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