In a binomial distribution with n=4 and p=1/2, the probability of exactly 2 successes is: MCQ with Answer and Explanation

Question
In a binomial distribution with n=4 and p=1/2, the probability of exactly 2 successes is:
A. 1/2
B. 3/8
C. 1/16
D. 1/4
Answer: Option B
Solution (By JKSSB Mock Tests)
C(4,2)×(1/2)^2×(1/2)^2 = 6×1/4×1/4=6/16=3/8.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
Vital statistics are crucial for calculating which of the following indicators?
A. Gross Domestic Product (GDP)
B. Human Development Index (HDI)
C. Infant Mortality Rate (IMR)
D. Literacy Rate
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Correct Answer: Option C

Explanation:
IMR directly uses vital statistics data on live births and infant deaths; other options rely on broader datasets (e.g., GDP on economic surveys, HDI on multiple sources, literacy on census/surveys).
This question belongs to: Accountancy and Statistics Statistics
Question #2
Which of the following statements about tabulation is correct?
A. Tabulation presents data in rows and columns for easy comparison.
B. Tabulation is the first step of data collection.
C. Tabulation eliminates the need for classification.
D. Tabulation is the process of grouping data into classes.
Discuss
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Correct Answer: Option A

Explanation:
Tabulation is the systematic arrangement of data in a table with rows and columns.
This question belongs to: Accountancy and Statistics Statistics
Question #3
In probability, if P(A) = 0, then A is:
A. Independent of any other event
B. An impossible event
C. Both B and C are correct
D. A sure event
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Correct Answer: Option C

Explanation:
An impossible event has probability 0, and it is independent of any event because P(A∩B)=0 = P(A)P(B).
This question belongs to: Accountancy and Statistics Statistics
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