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प्रश्न
Choose the correct option from the given alternatives:
For a binomial distribution, n = 4. If 2P(X = 3) = 3P(X = 2), then p = ______
विकल्प
`4/13`
`5/13`
`9/13`
`6/13`
उत्तर
`9/13`
APPEARS IN
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A pair of dice is thrown 3 times. If getting a doublet is considered a success, find the probability of getting at least two success.
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`
∴ x ∼ B (n, p)
P(x) = nCxpx qn–x
Probability of getting at least two success means x ≥ 2.
∴ P(x ≥ 2) = P(x = 2) + P(x = 3)
= `square` + `square`
= `2/27`