Question

A study of 1,000 randomly selected flights of a major airline showed that 782 of the flights arrived on time. What is the probability of a flight arriving on time?

A) 391/500

B) 109/500

C) 500/109

D) 500/391

Answer 1

The probability of a flight arriving on time, based on the study of 1,000 flights where 782 arrived on time, is 391/500.

Step-by-step explanation:

To calculate the probability of a flight arriving on time based on the provided study data, we use the formula:

Probability = Number of successful outcomes / Total number of outcomes

In this case, the number of successful outcomes (on-time flights) is 782 and the total number of outcomes (total flights studied) is 1,000. Thus, the probability (P) is calculated as follows:

P = 782 / 1000 = 0.782

When converting this to a fraction, we see that the probability can be simplified to:

P = 391 / 500 (after dividing numerator and denominator by 2)

Therefore, the correct answer to the question is A) 391/500.