Hi,
A student is known to arrive late for a class 40% of the time.
If the class meets five times each week find the P(x ≥ 3)
Bionomial Probability: p(late) = .40 and q = .60 , n = 5
P(x ≥ 3) = P(x=3) + P(x=4)+ P(x=5)
= 5C3(.40)^2(.60)^2 + 5C4(.40)^4(.60)^1 + 5C5(.40)^5
Using TI function: P(x ≥ 3) = 1 – P(x ≤ 2) = 1 - binomcdf(5, .40, 2)
or an Excel function can be used as well: 1-BINOMDIST(2,5,0.40,TRUE)