Q.1
ICAR AIEEA PG 2024 - Agricultural Engineering and Technology (Q.2)
MCQ (Single Correct) +4 −1
English हिन्दी
Consider the following probability distributions.

Which of the following are continuous probability distributions?
(A) Normal distribution
(B) Binomial distribution
(C) Poisson distribution
(D) Chi-square distribution
(E) F-distribution
Choose the correct answer from the options given below:

निम्नलिखित प्रायिकता बंटनों (probability distributions) पर विचार कीजिए।

इनमें से कौन से सतत प्रायिकता बंटन (continuous probability distributions) हैं?
(A) प्रसामान्य बंटन (Normal distribution)
(B) द्विपद बंटन (Binomial distribution)
(C) प्वासों बंटन (Poisson distribution)
(D) काई-वर्ग बंटन (Chi-square distribution)
(E) एफ-बंटन (F-distribution)
नीचे दिए गए विकल्पों में से सही उत्तर चुनें:

EXPLANATION Probability Theory, Theoretical Probability Distributions, Sampling and Hypothesis Testing

Classification of probability distributions:
Continuous Probability Distributions: Defined over an unbroken interval of real numbers. Examples include the Normal distribution (A), Chi-square distribution (\(\chi^2\)) (D), F-distribution (E), Student's t-distribution, and Exponential distribution.
Discrete Probability Distributions: Take only distinct, countable integer values (counts). Examples include the Binomial distribution (B) and Poisson distribution (C).

Therefore, (A), (D), and (E) are continuous probability distributions.

प्रायिकता बंटन दो प्रकार के होते हैं:

  • सतत प्रायिकता बंटन (Continuous Distributions): जो किसी अंतराल में कोई भी मान ले सकते हैं, जैसे प्रसामान्य बंटन (Normal - A), काई-वर्ग बंटन (Chi-square - D), और एफ-बंटन (F-distribution - E)।
  • असतत/खंडित प्रायिकता बंटन (Discrete Distributions): जो केवल पूर्णांक मान लेते हैं, जैसे द्विपद (Binomial - B) और प्वासों (Poisson - C) बंटन।
अतः सही विकल्प (A), (D) और (E) केवल है।
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