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प्रश्न
For a binomial distribution, n = 4. If 2P(X = 3) = 3P(X = 2), then p = ______.
विकल्प
`4/13`
`5/13`
`9/13`
`6/13`
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उत्तर
For a binomial distribution, n = 4. If 2P(X = 3) = 3P(X = 2), then p = `bb(9/13)`.
Explanation:
Given 2P (X = 3) = 3P (X = 2) for a binomial distribution with n = 4.
P(X = r) = `(4/r) p_r (1 − p)^(4 − r)`
`2(4/3)p^3 (1 − p) = 3 (3/2)p^2 (1 − p)^2`
Simplyfied
8p = 18(1 − p)
26p = 18 → p = `9/13`
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