Question
Download Solution PDFIn a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
⇒ Mean x = np = 6....(i)
⇒ SD = \(\sqrt{npq} = \sqrt2\)...(ii)
Dividing (ii) by (i), we get
⇒ \(\frac{npq}{np} = \frac{2}{6}\)
⇒ q= 1/3
Now
⇒ p = 1 – q = 1- 1\3 = 2/3
From (i)
⇒\(n\times \frac{2}{3} = 6\)
⇒n =9
∴ Option (d) is correct.
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