My employee seems to leave work anytime between 5PM and 6PM, uniformly. a) What is the...
My employee seems to leave work anytime between 5PM and 6PM, uniformly.
a) What is the probability he will still be at work at 5:50PM?
b) What is the probability he will still be at work at 5:50PM every day this week (M–F)?
c) What did you assume to calculate b?
Homework Answers
Answer:
Given,
a = 5 PM
b = 6 PM
now consider,
difference = b - a
= 6 - 5
= 1 hour
= 60 minutes
x = 5:50 PM
x - a = 5:50 - 5 PM
= 50 minutes
a)
P(work at 5:50PM) = (x - a) / (b - a)
= 50/60
= 5/6
= 0.8333
b)
Required probability = (0.8333)^5
= 0.4018
c)
Here the probability of working time is independent from day of week.
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