The mean age of 10 people in a room was 16. When Toby walked into the room, the mean age went up to 18.
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The probability that both specific qualified applicants will be among the eight selected is given by:
The probability that the two will get apartments on the North side is given by:
The probability that the two will get apartments on the South side is given by:
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
The probability that the two will get apartments on the North side is given by:
The probability that the two will get apartments on the South side is given by:
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from: