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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 people; the roster of the Statistics class shows 86 people. There are 43 overachieving seniors on both rosters.
1. What is the probability that a randomly selected senior is in exactly one of the two classes (but not both).
2. If the student is in the Calculus class, what is the probability the student is also in the Statistics class?
How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
What is the probability that a randomly chosen employee who has not had graduate training is a woman?
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
The probability that a teenage driver will speed is 0.8; for a twenty-something driver, the probability of speeding is 0.5; for a mature driver
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
S4 means symmetric group of degree 4, A4 means alternating group of degree 4, e is the identityIs there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
Complement of Events, Guessing. How do I setup a Guessing problem?, Six popular brands of cola are to be used in a blind taste study for consumer recognition.
Recent study of television viewing, 73% of first year college students stated that university well off financially is a very important personal goal. What is the probability that a similar study would have the same sample mean or higher?
Calculate the percentage of students who score less than 700
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