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
