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The Hiking Club plans to go camping in a state park where the probability of rain on
any given day is 54%. What is the probability that it will rain on exactly zero of the
five days they are there? Round your answer to the nearest thousandth.
Mathematics

The Hiking Club plans to go camping in a state park where the probability of rain on any given day is 54 What is the probability that it will rain on exactly ze class=

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Answer: 0.021

Step-by-step explanation:

Given that:

P(that it rains) = p(success) = p = 0.54

1 - p = 1 - 0.54 = 0.46

Number of trials = 5

Using the binomial probability distribution formula :

P(x = x) = nCx * p^x * (1 - p)^n-x

Probability that it rains on exactly 0 days :

P(x = 0) = 5C0 * 0.54^0 * 0.46^5

= 1 * 1 * 0.0205962976

= 0.0205962976

= 0.021

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