Question

In: Statistics and Probability

DATA SET: 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 103,...

DATA SET: 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 103, 68

Data Table:

A 10
B 2
C 1
D 1
F 1

Q1. Considering grade C or above as a passing grade, what is the probability for a student to receive a passing grade?

Q2. What is the probability of a student not receiving a passing grade?

Q3. What is the probability that the student received grade A or grade B?

Q4. What is the probability that the student received grade A, grade B, or grade C?

Q5. What is the probability that a student receive grade A & B?

Q6. What is the probability that a student receive grade A?

Q7. What is the probability that a student received grade B?

Q8. What is the probability that a student received grade C?

Q9. What is the probability that a student received grade D?

Q10. What is the probability that a student received grade F?

Q11. If a committee with 2 student members is to be formed, what is the probability of forming a committee with one A grade and one F grade student?

Q12. If a committee with 2 student members is to be formed, what is the probability of forming a committee with one A grade and one B grade student?

Q13. If the records whos that the probability of failing (with grade F) this course is p, [use the answer of question 11 as the probability here], what is the probability that at most 2 students out of 15 fail this course?

Q14. If the records whos that the probability of a student to get a grade B for this course is p, [use the answer to question 7 as the probability here], what is the probability that exactly 4 students out of 15 will have a grade B for the course?

Q15. What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection?

Solutions

Expert Solution

There are total 15 students.

Q1:

Out of 15 students 10+2+1 = 13 students get passing grades C, B or A so

P(passing grade) = 13 / 15

Q2:

By the complement rule, the probability that student is not receiving passing grade is

P(not passing grade) = 1 - P(passing grade) = 1 - 13/15 = 2/15

Q3:

Out of 15 students, 10+2 = 12 students received grade A or grade B so

P(grade A or B) = 12 /15 = 4/ 5

Q4:

Out of 15 students 10+2+1 = 13 students get passing grades C, B or A so

P(grade A, B or C) = 13 / 15

Q5:

No student can get both grades A and B together so

P(A and B) = 0

Q6:

P(grade A) = 10/15 = 2/3

Q7:

P(grade B) = 2/15

Q8:

P(grade C) = 1/15

Q9:

P(grade D) = 1/15

Q10:

P(grade F) = 1/15

orchestra answered 1 year ago
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