AM28
06.05.2020 •
Mathematics
At a certain time, the number of people that enter an elevator is a Poisson random variable with parameter λ. The weight of each person is independent of other person’s weight, and is uniformly distributed between 100 and 200 lbs. Let Xi be the fraction of 100 by which the i th person exceeds 100 lbs, e.g., if the 7th person weighs 175 lbs, then X7 = 0.75. Let Y be the sum of the Xi .(a) Find MY(s).(b) Use MY(s) to find E[Y].(c) Verify your answer to part (b) by using the law of iterated expectations.
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Ответ:
(a) MY(s) = e^λ(e^t-1/t - 1)
(b) E[Y] = λ/2
(c) E[Y] = λ/2
Step-by-step explanation:
See the attached file for explanation
Ответ:
33
Step-by-step explanation:
The total number of students in seventh grade at Western Middle School = 220
The percent of the students in seventh grade have perfect attendance=15%
Then, the number of students have perfect attendance is given by :
15% of 220
Hence, 33 students have perfect attendance.