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Subject:
Math question about High School GPA
Category: Science > Math Asked by: scifinut69-ga List Price: $10.00 |
Posted:
20 Oct 2004 03:38 PDT
Expires: 20 Oct 2004 13:49 PDT Question ID: 417446 |
The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories. GPA f(x) x < 2.0 .08 2.0 <= x < 2.5 .12 2.5 <= x < 3.0 .35 3.0 <= x < 3.5 .30 3.5 <= x a. Complete the table to make this a valid probability distribution. b. What is the probability an applicant's GPA will be below 3.0? c. What is the probability an applicant's GPA will be 2.5 or above? |
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There is no answer at this time. |
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Subject:
Re: Math question about High School GPA
From: padmapani-ga on 20 Oct 2004 05:34 PDT |
Firstly note the fact that the GPA cannot be more than 4.0 and that the probabilities add upto 1. (a) Noting this s you can fill out the last column's f(x) as 1 -(0.08+0.12+0.35+0.30) = 0.15. So you have the final distribution as x < 2.0 .08 2.0 <= x < 2.5 .12 2.5 <= x < 3.0 .35 3.0 <= x < 3.5 .30 3.5 <= x < 4.0 .15 (b) The relative frequency is the probability you are looking for. So Pr( GPA < 3.0) = Pr (0 < GPA < 3) = 0.08 + 0.12 + 0.35 = 0.55 or 55%. (c) The same logic as above applies. Pr(GPA > 2.5) = Pr (2.5 < GPA <= 4.0) = 0.35+0.30+0.15 = 0.80 or 80% |
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