A course in statistics is one of the most difficult at the local
university. Because of this, for the past decade the university has
arranged for teaching assistants to hold frequent discussion
sessions as part of the course. Since the inception of the
discussion sessions, 50% of the students enrolled in the course
regularly attended the sessions, and the other 50% did not.
Students regularly attending the sessions have performed better
than those not regularly attending. In particular, 70% of the
students regularly attending the sessions received a grade of "B"
or higher in the course, while only of the students not regularly
attending the sessions received a grade of "B" or higher in the
course. Let D denote the event that a randomly chosen student
(enrolled in the course) regularly attended the discussion
sessions, and let D(line on top) denote the event that a randomly
chosen student did not regularly attend the discussion sessions.
Let B denote the event that a randomly chosen student received a
grade of "B" or higher in the course, and let B(with line on top)
denote the event that a randomly chosen student did not receive a
grade of "B" or higher in the course. Fill in the probabilities to
complete the tree diagram below, and then answer the question that
follows. Do not round any of your responses.
P(B|D) = 0.7
P(D) = 0.5 ---------------------------- P(D∩B) =
|_________________P(DUB) =
P(B(line on top))|D) =
P(D(line on top))|B) =
------------------------------P(D(line on top)∩B) =
|__________________P(D(line on top)∩B(line on top) =
P(D(line on top)) =
P(B(lineontop)|D(lineontop)) =
What is the probability that a randomly chosen student did not
receive a grade "B" or higher in the course? ___
A course in statistics is one of the most difficult at the local university. Because of...
o A course in statistics is one of the most difficult at the local university. Because of this, for the past decade the university has arranged for teaching assistants to hold frequent discussion sessions as part of the course. Since the inception of the discussion sessions, 60% of the students enrolled in the course regularly attended the sessions, and the other 40% did not. Students regularly attending the sessions have performed better than those not regularly attending. In particular, 65%...
6. Students in one statistics course need to earn a grade of at least C, otherwise they need to repeat the course. It is also known that 85% of all students who attend class regularly will earn a grade of at least C, while only 30% of those students who do not attend class regularly will earn a grade of at least C. Historically, 80% of all students in this course attend class regularly. You must explicitly define any events...
Archie is taking a course in probability theory. Discussion sessions with the dass TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach. Archie learns that 83% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 9% of past students received a grade...
Archie is taking a course in probability theory. Discussion sessions with the dass TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach. Archie learns that 83% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 9% of past students received a grade...
Archie is taking a course in probability theory. Discussion sessions with the dass TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach. Archie learns that 83% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 19% of past students received a grade...
How are your grades? In a recent semester at a local university, 700 students enrolled in both Statistics I and Psychology I. Of these students, 84 got an A in statistics, 64 got an A in psychology, and 32 got an A in both statistics and psychology. Round the answers to four decimal places, as needed. Part 2 out of 2 Find the probability that a randomly chosen student did not get an A in statistics. The probability that a...
5. North Carolina State University posts the complete grade distributions for its courses online. The distribution of grades for all students in all sections of Accounting 210 in the spring semester of 2001 was Grade Probability .18 32 34 09 07 a. Using the scale A -4, B-3, C-2, D- 1, and F 0, let Xbe the grade of a randomly chosen b. Let X denote the mean grade for a random sample of 50 students from Accounting 210. Since...
Recently, Hector ran for president of the local school board. Of those who voted in the election, 80% had a high school diploma, and the other 20% did not. Hector got 75% of the vote of those with high school diplomas, while he got only 25% of the vote of those without high school diplomas. Let D denote the event that a randomly chosen voter (in the school board election) had a high school diploma and D(overbar) denote the event...
Question 5.[15 marks] [Chapters 7 and 8] Data from a random sample of a recent large second semester stage 2 statistics course (STATS 20x) were collected. Below is some information on the variables collected. Variable Grade The student's final grade for the course: A, B. C, D Pass Whether the student passed the course: Yes, No Programme The programme the student is enrolled in: BA, BCom BSc, Other Sex The student's sex: Female, Male ผhether the student regularly attended class:...
Problem 1 A university found that in an introductory statistics course, about 40% of the enrolled students will pass the course with A or B grades, 30% will pass with a C and i 0% will obtained D or F grades. 20% of the students withdraw without completing the course. Assume that 20 students are registered for the course a Computethe probaill withdraw b. Compute the probability that exactly 4 will withdraw Compute the probability that more than 3 will...