Probability questions about students in various classes

4. Of the 47 people who answered "yes" to a question, 8 were male. Of the 100 people who answered"no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
A) 0.456
B) 0.401
C) 0.136
D) 0.17

5. A teacher designs a test so a student who studies will pass 95% of the time, but a student who does not study will pass 8% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?
A) 0.12
B) 0.82
C) 0.515
D) 0.808

6. The following table shows the grades of college students in an advanced mathematics course,broken down by year.
Use the table below to find the probability that a randomly selected sophomore gets a B.

A B C D E Totals (%)
Freshmen 3 5 6 4 1 19
Sophomores 6 3 8 2 3 22
Juniors 5 7 15 6 2 35
Seniors 5 4 1 2 5 17
Grad Students 3 2 2 0 0 7

Totals (%) 22 21 32 14 11 100

A) 1/11
B) 3/22
C) 1/7
D) 4/21

Solution Summary

The solution answers three probability questions about students in classes taking tests and answering questions.

Please help with the following probability of selection problems. Provide step by step calculations.
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only: AP Calculus and AP Statistics. The roster of the Calculus class shows 95

A campus program evenly enrolls undergraduate and graduate students. If a random sample of four students is selected from the programs to be interviewed about the introduction of a new fast food outlet on the ground floor of the building, what is the probability that all four students selected are undergraduate students?
A. 0

The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed mathematics and physics. A student is selected at random.
a.) If a student failed physics, what is the probability that he or she failed mathematics?
b.)

Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts (a) through (e).
X 0 1 2 3 4 5 6 7 8
P(x) 0.02 0.04 0.05 0.05 0.11 0.24

In a certain class of students, there are 15 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 6 boys from Glencoe, 2 boys from Kenilworth and 8 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
(Must show work).

In a large university, 15% of the students are female. If a random sample of twenty students is selected,
a. what is the probability that the sample contains exactly four female students?
b. what is the probability that the sample will contain no female students?
c. what is the probability that the sample will contain

The metropolitan school system consists of two districts, east and west. The east district contains 35% of all students, and the west district contains the other 65%. A vocational aptitude test was given to all students; 10% of the east district students failed, and 25% of the west district students failed. Given that a students

Please show all of the steps and processes you used to solve each of the problems
1. Would you suspect that the IDEA surveys sent to South students each term could be biased in the responses received? Why or why not?
2.Using the data set below, please calculate the:
12 16 12 10 20 10 10
- Mean =
- Median =