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UkoKoshka [18]
3 years ago
8

The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability

that professor will arrive in the next minute given that she has not arrived by 8: 20.
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

Hence probability for arriving after 8.20 is 1/40

Prob he arrives at exactly 8.21 is 1/60

To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.

= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20

This is conditional probability and hence

= P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025

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