The probability of getting rain on any given day in june in capital city is $\frac{1}{10}$. what is the probability that it rains on at most 2 days in june? express your answer as a decimal to the nearest thousandth.
We will use the Binomial Probability formula to solve this problem
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where n = the number of trials = 30 days x = the number of days we are trying to aim which is ≤2 p = the probability of success = 1/10 = 0.1
ⁿCₓ = [tex] \frac{n!}{(n-x)!x!} [/tex] or if you have a scientific formula, type in the value of n, then find the symbol [tex]^nC_r[/tex] on the calculator, then enter the value of x.
Since we want to find the value for P(X≤2), we need to work out separately the value of P(0), P(1), and P(2) then total the answers
