Answer:
So, the probability is P=0.0135.
Step-by-step explanation:
We know that at a certain airport, 65% of the flights arrive on time.
We get that p=0.65 and q=1-0.65=0.35.
We have 10 flights, so n=10.
We calculate the probability that all 10 of the flights were on time, so k=10.
We use the formulu:
[tex]\boxed{P(X=k)=C^n_k \cdot p^k\cdot q^{n-k}}[/tex]
we get:
[tex]P(X=10)=C^{10}_{10}\cdot 0.65^{10}\cdot 0.35^0\\\\P(X=10)=1\cdot 0.0135\cdot 1\\\\P(X=10)=0.0135\\[/tex]
So, the probability is P=0.0135.
