In a Poisson distribution, the probability of zero successes is e^{-λ}. If λ=3, this probability is approximately: MCQ with Answer and Explanation

In a Poisson distribution, the probability of zero successes is e^{-λ}. If λ=3, this probability is approximately:
A. 0.10
B. 0.05
C. 0.20
D. 0.15
Answer: Option B
Solution (By JKSSB Mock Tests)
e^{-3} ≈ 0.0498 ≈ 0.05.

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Practice More Statistics Questions

Question #1
If P(A)=0.4, P(A∪B)=0.7, then the probability of B will be maximum when A and B are:
A. Mutually exclusive
B. Independent
C. A is a subset of B
D. B is a subset of A

Correct Answer: Option C


Explanation:
P(A∪B)=P(A)+P(B)-P(A∩B). To maximize P(B) given P(A∪B)=0.7 and P(A)=0.4, set P(A∩B)=P(A)=0.4 (i.e., A⊂B). Then 0.7=0.4+P(B)-0.4 => P(B)=0.7 max.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Direct standardization of death rates requires age-specific death rates for:
A. The study population only
B. Both study and standard populations
C. Neither; crude rates suffice
D. The standard population only

Correct Answer: Option A


Explanation:
Direct standardization uses the study population's age-specific death rates applied to the standard population's age structure; thus, only the study population's age-specific rates are needed.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The concept of 'population momentum' refers to:
A. Increase in life expectancy
B. Urbanization rate
C. Net migration
D. Tendency of population to grow despite declining fertility due to large reproductive-age population

Correct Answer: Option D


Explanation:
Population momentum is the built-in growth potential resulting from a young age structure, even if fertility drops to replacement level.

This question belongs to: Accountancy and Statistics Statistics