Question

At a certain airport, 65% of the flights arrive on time. A sample of 10 flights is studied. Find the probability that all 10 of the flights were on time.

Answer 1

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:

$\boxed{P(X=k)=C^n_k \cdot p^k\cdot q^{n-k}}$

we get:

$P(X=10)=C^{10}_{10}\cdot 0.65^{10}\cdot 0.35^0\\\\P(X=10)=1\cdot 0.0135\cdot 1\\\\P(X=10)=0.0135$

So, the probability is P=0.0135.