Hello, Please show calculations: At Utopia University, 510 students took the Col
ID: 3357170 • Letter: H
Question
Hello,
Please show calculations:
At Utopia University, 510 students took the College Literacy Observation Disk (CLOD) pilot test to identify any literacy traits that could be noticed. Here are the results for graduates and undergraduates.
Fail
Pass
Total
Graduates
55
125
180
Undergraduates
50
280
330
Totals
105
405
510
For a randomly selected student, determine the following probabilities: (10 points)
P(Pass)
P(Pass and Graduate)
P(Fail/Undergraduate)
P(Graduate/Fail)
P(Pass or Undergraduate)
Marge correctly guessed whether a fair coin turned up "heads" or "tails" on six consecutive flips. What is the probability that she will correctly guess the outcome of the next coin toss? (10 points)
If Johnny had 20 complete living room outfits, disregard color scheme, how many different sets of five complete outfits could be arranged? (10 points)
Fail
Pass
Total
Graduates
55
125
180
Undergraduates
50
280
330
Totals
105
405
510
Explanation / Answer
P(pass) = 405/510 = 0.794
P(pass and graduate) = 125/510 = 0.245
P(fail | undergraduate) = P(fail and undergraduate)/P(undergraduate)
= (50/510)/(330/510)
= 50/330 = 0.15
P(graduate|fail) = P(graduate and fail)/P(fail)
= 55/105 = 0.52
P(pass or undergraduate) = P(pass) + P(undergraduate) - P(pass and undergraduate)
= 405/510 + 330/510 - 280/510
= 0.794 + 0.647 - 0.549
= 0.892
B) P(she will correctly guess the outcome of the next coin toss) = 0.5
C) no of arrangements = 20P5 = 20!/(20 - 5)! = 20!/15! = 1860480
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