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Question
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is ______.
Options
`6/25`
`12/5`
6
4
MCQ
Fill in the Blanks
Solution
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is `underline(12/5)`.
Explanation:
Probability of green ball (p) `=15/25=3/5`
Probability of yellow ball (q) `=10/25=2/5`
Also, n = 10
∴ Variance = npq
`=10(3/5)(2/5)`
`=12/5`
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