Suppose 10% of the flights arriving at an airport arrive early, 60% arrive on time, and 30% arrive late. Valerie used the random-number table to find the experimental probability that of 5 flights, at least 2 will arrive late. The digit 0 represents flights arriving early. The digits 1, 2, 3, 4, 5, and 6 represent flights arriving on time. The digits 7, 8, and 9 represent flights arriving late.
65926, 31459, 31986, 65809, 80462
27387, 39075, 46738, 21986, 59837
91384, 10987, 26491, 68498, 98796
32596, 26448, 31235, 63256, 53121
Find the experimental probability that of 5 flights, at least 2 will arrive late.
(1 point)
•3/10
•2/5****
•9/20
•11/20
Shut up ur wrong
Its 3/10 "NO NEED TO THANK ME"
HELLLOOOOO?!?! Mrs. Sue? Reed? Am I Correct??
To find the experimental probability of at least 2 flights arriving late out of 5 flights, we need to count the number of outcomes in which at least 2 flights arrive late.
Let's first look at the given list of random numbers:
- 65926, 31459, 31986, 65809, 80462
- 27387, 39075, 46738, 21986, 59837
- 91384, 10987, 26491, 68498, 98796
- 32596, 26448, 31235, 63256, 53121
In each number, we will consider the last digit to determine if the flight arrives early, on time, or late. Digits 0-6 represent on-time flights, while digits 7-9 represent late flights.
Out of the 20 numbers, let's count the outcomes where at least 2 flights arrive late:
- In the first number, 65926, there are no late flights.
- In the second number, 59837, there are 2 late flights.
- In the third number, 68498, there are 2 late flights.
- In the fourth number, 63256, there are 2 late flights.
Therefore, there are 4 outcomes where at least 2 flights arrive late out of the 20 possible outcomes.
To calculate the experimental probability, we divide the number of successful outcomes by the total number of outcomes:
Experimental probability = Number of successful outcomes / Total number of outcomes
Experimental probability = 4 / 20
Experimental probability = 1/5 = 0.2
So, the experimental probability that of 5 flights, at least 2 will arrive late is 1/5 or 0.2.
The correct answer choice is 2/5.