Home › Maharashtra HSC Class 12 (Commerce) › businessmathematics › Probability Distributions › In a Poisson distribution, mean equals
In a Poisson distribution, mean equals
AMode
BVariance
CMedian
DAll of these
Answer & Solution
Correct answer: B. Variance
1. For Poisson(λ): mean = λ, variance = λ, hence mean = variance.
2. Median and mode are close to but not exactly equal to mean except for specific λ values.
3. The defining property used in problems is mean = variance = λ.
4. Hence (B) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 8 "Probability Distributions", §8.2 ¶§8.2_
Related questions
In a Poisson distribution with mean 5, standard deviation equalsSum of binomial probabilities P(X = 0) + P(X = 1) + … + P(X = n) equalsIf X ~ N(50, 25), the value of 'σ' isIn a standard normal distribution, what percent of values lie within ±1 standard deviationFor a Normal distribution, the curve isIf a Poisson process has mean 4 customers per hour, probability of exactly 2 customers in If a Binomial distribution has mean 4 and variance 3, the value of p isVariance of a Binomial distribution Bin(n,p) equals