For two events, P(A)=0.4, P(B)=0.3, and P(A∩B)=0.12. Which of the following is true? MCQ with Answer and Explanation

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For two events, P(A)=0.4, P(B)=0.3, and P(A∩B)=0.12. Which of the following is true?

A. A and B are complementary.

B. A and B are mutually exclusive.

C. A and B are independent.

D. P(A∪B)=0.52.

Answer: Option C

Solution (By JKSSB Mock Tests)

0.4×0.3=0.12, so independent. Mutually exclusive would need 0. P(A∪B)=0.4+0.3-0.12=0.58.

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Practice More Statistics Questions

Question #1

A frequency distribution is best described as:

A. A measure of the central value of a dataset

B. A method for calculating the range of data

C. A tabular arrangement showing the number of observations in each class interval

D. A graphical representation of data using bars

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Correct Answer: Option C

Explanation:
A frequency distribution organizes data into classes or intervals and displays the count (frequency) of observations falling within each class, summarizing the data's pattern.

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Question #2

In a continuous frequency distribution, what does the term 'class mark' refer to?

A. The difference between upper and lower limits

B. The frequency of the specific class

C. The midpoint of the class interval

D. The sum of frequencies up to that class

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Correct Answer: Option C

Explanation:
The class mark is calculated as (Upper Limit + Lower Limit) / 2 and represents the entire class in calculations.

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Question #3

The index number that uses the geometric mean of price relatives with base year value weights is:

A. Walsh index

B. Marshall-Edgeworth index

C. Fisher index

D. Theil-Tornqvist index

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Correct Answer: Option D

Explanation:
Theil-Tornqvist index uses base and current value shares as weights for geometric mean of price relatives.

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