SOLUTION: Student Scores: 53, 57, 59, 60, 60, 60, 61, 61, 62, 62, 62, 62, 63, 63, 65, 65, 65, 66, 67, 67, 68, 68, 68, 69, 71, 71, 71, 72, 72, 73, 73, 73, 73, 74, 74, 74, 75, 75, 75, 75, 75,

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Question 752938: Student Scores:
53, 57, 59, 60, 60, 60, 61, 61, 62, 62, 62, 62, 63, 63, 65, 65, 65, 66, 67, 67, 68, 68, 68, 69, 71, 71, 71, 72, 72, 73, 73, 73, 73, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 77, 77, 78, 78, 78, 78, 78, 79, 79, 79, 80, 81, 82, 82, 83, 84, 85, 85, 85, 86, 87, 88, 88, 88, 89, 90, 93, 93, 94, 95, 95, 96, 97
If the passing score is 70 points and 5 students are picked at random, find the probability that:
a) all 5 fail
b) only 2 fail
c) only 2 pass
d) all 5 pass
e)their score is between 90 and 95 points

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

Student Scores:
53, 57, 59, 60, 60, 60, 61, 61, 62, 62, 62, 62, 63, 63, 65, 65, 65, 66, 67, 67,
68, 68, 68, 69, 71, 71, 71, 72, 72, 73, 73, 73, 73, 74, 74, 74, 75, 75, 75, 75,
75, 75, 75, 76, 76, 76, 76, 77, 77, 78, 78, 78, 78, 78, 79, 79, 79, 80, 81, 82,
82, 83, 84, 85, 85, 85, 86, 87, 88, 88, 88, 89, 90, 93, 93, 94, 95, 95, 96, 97

If the passing score is 70 points and 5 students are picked at random, find the probability that:
If I counted right, then there are 80 students, 24 fail and 56 pass,
and 6 are between 90 and 95.  I colored the failures red, and the
ones between 90 and 95 green.

a) all 5 fail

 = 0.0017680521

b) only 2 fail

 =  = 0.3182493722

c) only 2 pass

 =  = 0.1296571516

d) all 5 pass

 = 0.1588940706


e)their score is between 90 and 95 points

 = 0.0000002495838605

Edwin

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