A mathematics instructor at a large university has determined that a student's probability of success in the pass/fail algebra course is a function of s, n, and a, where s isthe student's score on the departmental placement exam, n is the number of semesters of mathematics passed in high school, and a is the student's mathematics SATscore. The instructor estimates that p, the probability of passing the course (in percent), will bep=f(s,n,a) = 0.078a +4(sn)1/2for 200 ≤a ≤ 800, 0≤s≤ 10, and 0≤n≤8. Assume that this model has some merit. Complete parts a - c below.(Type an integer or a decimal. Round to the nearest tenth as needed.)Choose the correct interpretation below of f(4,3,300) = A.(OA. If a student has taken 3 semesters of math, his score on the departmental exam is a 4, and his SAT score is 300, then the probability that he will pass thealgebra course is A%.nd-aexdentOB. If a student has taken 3 semesters of math and and his score on the departmental exam is a 4, increasing his SAT score by 10 points would increase hisprobability of passing the algebra course by 10A%.culusfunctF(x.y)=OC. If a student has taken 3 semesters of math and then takes a 4th semester of math, while his score on the departmental exam remains a 4, and his SATscore stays at 300, then the probability that he will pass the algebra course will increase by A%.Choose the correct interpretation below of f(4,3,300) = B.OA. If a student has taken 3 semesters of math and she increases her score on the departmental exam from a 4 to a 5 while her SAT score stays at 300, herprobability of passing the algebra course will increase by B%.ses lecthe GeXx0) + fythe pointOB. If a student has taken 3 semesters of math and her score on the departmental exam is a 4, increasing her SAT score by 10 points would increase herprobability of passing the algebra course by 10B %.OC. If a student has taken 3 semesters of math and her score on the departmental exam is a 4, increasing her SAT score from 300 to 310 would increase herprobability of passing the algebra course by B%.ONext4:07 AM7/15/2022 A mathematics instructor at a large university has determined that a student's probability of success in the pass/fail algebra course is a function of s, n, and a, where s isthe student's score on the departmental placement exam, n is the number of semesters of mathematics passed in high school, and a is the student's mathematics SATscore. The instructor estimates that p, the probability of passing the course (in percent), will be1/2p=f(s,n,a) = 0.078a+ 4(sn)for 200 ≤a ≤ 800, 0≤s≤ 10, and 0≤n≤8. Assume that this model has some merit. Complete parts a - c below.a. If a student scores 8 on the placement exam, has taken 5 semesters of high school math, and has an SAT score of 450, what is the probability that the student willpass the course?The probability is%. (Round to the nearest percent as needed.)b. Find p for a student with 3 semesters of high school mathematics, a placement score of 4, and an SAT score of 300.p=% (Round to the nearest percent as needed.)c. Find and interpret f (4,3,300) and f (4,3,300).d-aXlentulusunct_x.y)=fn (4,3,300)~(Type an integer or a decimal. Round to the nearestfa (4,3,300)(Type an integer or a decimal. Round to the nearest tenth as needed.)Choose the correct interpretation below of f(4,3,300) = A.es leche Gex0) + fyneeded.)e point(...)OA. If a student has taken 3 semesters of math, his score on the departmental exam is a 4, and his SAT score is 300, then the probability that he will pass thealgebra course is A%.Next(1)D4:07 AM7/15/2022

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A mathematics instructor at a large university has determined that a student's probability of success in the pass/fail algebra course is a function of s, n, and a, where s is the student's score on the departmental placement exam, n is the number of semesters of mathematics passed in high school, and a is the student's mathematics SAT score. The instructor estimates that p, the probability of passing the course (in percent), will be 1/2 p=f(s,n,a)=0.078a+ 4(sn)" for 200 ≤a ≤ 800, 0≤s≤ 10, and 0≤n≤8. Assume that this model has some merit. Complete parts a - c below. a. If a student scores 8 on the placement exam, has taken 5 semesters of high school math, and has an SAT score of 450, what is the probability that the student will pass the course? The probability is s%. (Round to the nearest percent as needed.) b. Find p for a student with 3 semesters of high school mathematics, a placement score of 4, and an SAT score of 300. p= % (Round to the nearest percent as needed.) c. Find and interpret f (4,3,300) and f (4,3,300). d-a X lent fn(4,3,300) ulus unct x.y)= es le (Type an integer or a decimal. Round to the nearest tenth as needed.) fa (4,3,300) (Type an integer or a decimal. Round to the nearest tenth as needed.). Choose the correct interpretation below of f (4,3,300) = A. 4 OA. If a student has taken 3 semesters of math, his score on the departmental exam is a 4, and his SAT score is 300, then the probability that he will pass the algebra course is A%.

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...