Question

An airline reports that 85% of its flights arrive on time. to find the probability that a random sample of 4 of this airline���s flights into laguardia airport in new york city on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? why or why not?

Answer 1

To find the probability that all four flights arrive on time, we can use the formula for the probability of independent events. The probability that all four flights arrive on time is 0.5221.

Step-by-step explanation:

To find the probability that all four flights arrive on time, we can multiply the probabilities of each individual flight arriving on time. However, instead of multiplying 0.85 four times, we can use the formula for the probability of independent events:

P(A and B and C and D) = P(A) × P(B) × P(C) × P(D)

So, the probability that all four flights arrive on time is 0.85 × 0.85 × 0.85 × 0.85 = 0.5221.