(1 point) Rework problem 23 from section 2.1 of your text, involving the percent
ID: 3067983 • Letter: #
Question
(1 point) Rework problem 23 from section 2.1 of your text, involving the percentages of grades and withdrawals in a calculus-based physics class. For this problem, assume that 7 % withdraw, 18 % receive an A, 19 % receive a B, 37 % receive a C, 14 % receive a D, and 5 % receive an F. (1) What probability should be assigned to the event "pass the course"? (2) What probability should be assigned to the event "withdraw or fail the course"? (Note: Enter your answers as decimal fractions. Do not enter percentages.)Explanation / Answer
1. P( pass the cource) = P( getting grade A)+P( getting grade B)+P( getting grade C)
+P( getting grade D)
= 0.18+0.19+0.37+0.14 = 0.88
2) P(Withdrew or fail the cource) = 0.07 + 0.05 = 0.12
Suppose the weight of 3, 4, 2, and 6 is p
therefore weight of 5 is 4p and weight of 4*(4p) = 16p
Total weight = 16p+4p + p + p + p + p = 24 p = 1
therefore p = 1/24 = 0.041667.
1) P(w3 ) = 1/24 = 0.041667
2) P(w5 ) = 4p = 4*(1/24) = 1/6 = 0.166667
3) P(w1 ) = 16 * p = 16 /24 = 1/3 = 0.333333
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