Question

question 6 of 10
the following set of random numbers represents 20 simulations of three daily flights from philadelphia to seattle, with 0, 1, 2, or 3 representing a late departure and 4, 5, 6, 7, 8, or 9 representing an on - time departure. in how many of the simulations was there an on - time departure for all three flights?
506 619 535 769 096 380 527 555 737 192 092 658 691 320 442 812 968 763 374 282
a. 5
b. 6
c. 4
d. 3

Explanation:

Step1: Divide the set of numbers

Divide the given set of numbers into groups of 3 - digit numbers. The groups are: 506, 619, 535, 769, 096, 380, 527, 555, 737, 192, 092, 658, 691, 320, 442, 812, 968, 763, 374, 282.

Step2: Check for all - on - time departures

An on - time departure is represented by 4, 5, 6, 7, 8, or 9. We need to check each 3 - digit number to see if all three digits are in the set \(\{4,5,6,7,8,9\}\).

• For 506: 0 is not in the on - time set.
• For 619: 1 is not in the on - time set.
• For 535: All digits \(5,3,5\) (3 is not in the on - time set).
• For 769: All digits \(7,6,9\) (7,6,9 are in the on - time set).
• For 096: 0 is not in the on - time set.
• For 380: 3 and 0 are not in the on - time set.
• For 527: 2 is not in the on - time set.
• For 555: All digits \(5,5,5\) (5 is in the on - time set).
• For 737: 3 is not in the on - time set.
• For 192: 1 and 2 are not in the on - time set.
• For 092: 0 and 2 are not in the on - time set.
• For 658: All digits \(6,5,8\) (6,5,8 are in the on - time set).
• For 691: 1 is not in the on - time set.
• For 320: 3 and 2 and 0 are not in the on - time set.
• For 442: 2 is not in the on - time set.
• For 812: 1 and 2 are not in the on - time set.
• For 968: All digits \(9,6,8\) (9,6,8 are in the on - time set).
• For 763: 3 is not in the on - time set.
• For 374: 3 is not in the on - time set.
• For 282: 2 is not in the on - time set.

The numbers 769, 555, 658, 968 have all three digits representing on - time departures.

Answer:

C. 4