Instructions Complete this assignment using Excel for any calculations. Type all
ID: 3039873 • Letter: I
Question
Instructions Complete this assignment using Excel for any calculations. Type all answers with work in the spaces below. Show your answers in BOTH fractional form and decimal form rounded to 3 decimal places. Use complete sentences when necessary. Each problem is worth 10 points. Problems The two-way table below summarizes how students performed in three past sections of MAT 152 on the Unit 1 Test. The row labels are letter grades. The column labels describe whether or not a student completed both chapter quizzes for the unit (first column), or missed at least one quiz for the unit (second column) Completed both quizzes Missed at least one quiz Total 29 14 14 14 71 28 13 D/F Total 16 1. What is the probability that a randomly selected student earned an A on the test? 2. What is the probability that a randomly selected student completed both quizzes?Explanation / Answer
1)P(probability of earning an A) =29/71=0.408 (as there are 29 student who earn an A out of 71)
2) P(completed both quizzes) =55/71=0.775
7)P(both earned a C) =(14/71)*(13/70)=13/355 =0.037
8)for indepedence P(AnB) should be equal to P(A)*P(B)
P( earned a C or better) =(14+14)/71 =28/71
P(Competed both quizzes) =55/71
as P( earned a C or better and Competed both quizzes) =(13+3)/71 =16/71 which is not equal to P(earned a C or better)*P(Competed both quizzes) . therefore events earned a C or better and Competed both quizzes are not independent. and Hence depednent.
9)
for mutually exclusive two events should not share any common element.
as there are 1 common element in them ; therefore they are not mutually exclusive,.
10)
proabbility =(3+11+1+3+1)/71 =19/71 =0.268
(please revert for any clariifcation)