WHat is the probability that a student thayt is a Junior makes a B in the course
ID: 3208190 • Letter: W
Question
WHat is the probability that a student thayt is a Junior makes a B in the course?
WHat is the probaility a stuednt that is a senior does NOT make an A in the course?
WHat is the proabability a student makes a D or an F in the course?
Let A be the event that a sophmore is taking the course. Let B be the eent that a student makes a C in the course. Are thee events A and B independent? Are the events A and B mutually exclusive?
Please show work
Grade
Freshman
Sophomore
Junior
Senior
Total
A
0
8
9
10
B
0
6
8
11
C
1
7
9
12
D
2
4
1
4
F
0
6
2
1
Total
3
31
29
38
Grade
Freshman
Sophomore
Junior
Senior
Total
A
0
8
9
10
B
0
6
8
11
C
1
7
9
12
D
2
4
1
4
F
0
6
2
1
Total
3
31
29
38
Explanation / Answer
P(B given that the student is a Junior) = P(junior who get B)/P(Junior) = 8/29 = 0.276
P(Does not make an A given that the student is a senior) = P(senior without A)/P(senior) = 28/38 = 0.737
P(D or F) = (2+4+1+4+0+6+2+1)/101 = 20/101 = 0.198
P(A) = 31/101 = 0.307
P(B) = 29/101 = 0.287
P(A & B) = 7/101 = 0.069
P(A) x P(B) = 0.088 which is not equal to P(A &B)
So, A and B are not independent
P(A & B) is not equal to 0, so, A and b are not mutually exclusive
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