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प्रश्न
In a Binomial distribution with n = 4, if 2P(X = 3) = 3P(X = 2), then value of p is ______.
विकल्प
`9/13`
`4/13`
`6/13`
`7/13`
उत्तर
In a Binomial distribution with n = 4, if 2P(X = 3) = 3P(X = 2), then value of p is `underlinebb(9/13)`.
Explanation:
P(X = 3) = 4C3p3(1 – p) = 4p3(1 – p)
P(X = 2) = 4C2p2(1 – p)2 = 6p2(1 – p)2
8p3(1 – p) = 18p2(1 – p)2
4p = 9(1 – p)
13p = 9
p = `9/13`
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Solution:
A pair of dice is thrown 3 times.
∴ n = 3
Let x = number of success (doublets)
p = probability of success (doublets)
∴ p = `square`, q = `square`
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