The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability
1 answer:
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
=
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672 divided by 32
is 21 with remainder 0
= 21 R 0
= 21 0/32
Show Work:
(There are a few files that should help you see the steps of this problem, and examples (of)
and how to do it) I hope this helps! If not, please let me know. :)
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