Answer:
52.56% probability that eight or more of the flights will arrive on time.
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it is on time, or it is not. The probability of a flight being on time is independent from other flights. So we use the binomial probability distribution to solve this question.]
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
At a certain airport, 75% of the flights arrive on time.
This means that
A sample of 10 flights is studied.
This means that
Find the probability that eight or more of the flights will arrive on time.
In which
52.56% probability that eight or more of the flights will arrive on time.