University of Pennsylvania
STAT 430
Stat 430 Midterm Exam Solutions
Yichen Wang ([email protected])
Exam date: October 12, 2020
1. (a) Out of 10 5 ways of splitting, 2 210-32-1 result in the desired scenario. The probability is then
7 3,10 5 = 5=36 = 0:1389:
(b) The probability that balls 1,2 are in one row and balls 3,4 are in another row is given by
2
...[Show More]
Stat 430 Midterm Exam Solutions
Yichen Wang ([email protected])
Exam date: October 12, 2020
1. (a) Out of 10 5 ways of splitting, 2 210-32-1 result in the desired scenario. The probability is then
7 3,10 5 = 5=36 = 0:1389:
(b) The probability that balls 1,2 are in one row and balls 3,4 are in another row is given by
2 × 6 3,10 5 :
There is a factor of 2 because balls 1 and 2 can be in either row A or row B. For each row, the
probability that two particular balls are next to each other is given by 4!2!=5!. It follows that the
desired probability is
[Show Less]
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