the probability that it rains in a day is 0.2.what is the probability that there is rain in next 5 days
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Probability that it rains on any or.more day in the next 5 days = 1 - probability that it doesn't rain in 5 days = 1 - 0.8^5 = 0.67
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Given: the probability that it rains in a day is 0.2.
To Find : Probability that there is rain in the next five days
Solution:
probability that it rains in a day is p = 0.2.
=> probability that it does not rains in a day is q = 1 - 0.2 = 0.8
n = 5
P(x) = ⁿCₓpˣqⁿ⁻ˣ
probability that there is rain in the next five days = 1 - P(0)
P(0) = ⁵C₀(0.2)⁰(0.8)⁵⁻⁰
=> P(0) = (0.8)⁵
probability that there is rain in the next five days = 1 - (0.8)⁵
= 0.67232
probability that there is rain in the next five days = 0.67232
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