Match each quantity in List I with its value in List II.

Match each quantity in List I with its value…

Question 36

MediumOriginal question

Match each quantity in List I with its value in List II.

List I	List II
A. Mean of a binomial distribution with $n = 10$ , $p = 0.5$	I. $4$
B. Variance of a binomial distribution with $n = 10$ , $p = 0.5$	II. $5$
C. Variance of a Poisson distribution with $\lambda = 4$	III. $3$
D. Standard deviation of a Poisson distribution with $\lambda = 9$	IV. $2.5$

A-IV, B-II, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-III, D-ICorrect answerYour answerA-IV, B-II, C-III, D-ICorrect answerYour answerA-II, B-IV, C-I, D-IIICorrect answerYour answer

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CorrectNot quiteAnswer D

Correct answer: D

Binomial: mean $np = 5$ , variance $npq = 10 \times 0.5 \times 0.5 = 2.5$ .
Poisson: the variance equals $\lambda = 4$ ; with $\lambda = 9$ the standard deviation is $\sqrt{9} = 3$ .

Concept: Means and variances of the two distributions
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsMean and variance of a binomial distribution

Practise this chapter →

Ten questions from Binomial & Poisson Distributions, at your own pace.

Practise this chapter →

Ten questions from Binomial & Poisson Distributions, at your own pace.

Question 36

Explanation