Find the probability

Suppose that 19.7% of college students take a Literature course, and that 48.3% of college
students are male. Only 13.4% of male college students take a Literature course. Find the probability that a randomly selected college student is
a) male and takes a Literature course
b) male or takes a Literature course
c) male given that the student takes a Literature course
d) Are the events “Male” and “Takes a Literature Course” independent? (why?)

Probabilities

A and B are events where p(A) = 0.30, p(B) = 0.65, p(A and B) = 0.25
Find the following probabilities:
a) p( A or B )
b) p( A given B )
c) Are the events A and B disjoint? (why?)
d) Are the events A and B independent? (why?)

Compute the 40th percentile

Here are the grades on an exam for a class with 18 students:
15, 43, 51, 68, 71, 72, 75, 76, 80, 83, 84, 84, 86, 87, 89, 90, 93, 98
a) Compute the 40th percentile
b) Find the quartiles
c) Use the IQR to identify any outliers

grade point average

In the fall semester, a student received a grade of 3.3 for a 4 credit Literature course, a grade of 3.0 for a 4 credit History course, a grade of 2.3 for a 3 credit Sociology course and a grade of 1.7 for a 1 credit Gym course.
Calculate the student’s grade point average for the semester.

sample mean, sample variance, sample standard deviation

Given the following sample
16, 23, 13, 4, 7, 16, 12
Without using the statistical features of your calculator, compute the
a) sample mean
b) sample variance
c) sample standard deviation

Create a frequency table and a relative frequency table

The following data represents the number of visitors to a remote ranger station for the 30 days of November:
3, 5, 2, 9, 0, 1, 6, 3, 11, 2, 3, 7, 1, 5, 4,
8, 4, 6, 1, 3, 5, 2, 4, 7, 2, 5, 1, 0, 6, 3
a) Create a frequency table and a relative frequency table
b) Draw the histogram and describe its shape
c) Find the mean, median and mode

Why do we represent the real part of an imaginary number with a cosine wave and the imaginary part with a sine wave?

Why do we represent the real part of an imaginary number with a cosine wave and the imaginary part with a sine wave?

Nash Equilibrium

Libertyville has two optometrists, Dr. Smith (S) and Dr. Jones (S). Each optometrist can choose to advertise his service or not. The net revenue to each optometrist, in thousands of dollars, is listed on the payoff matrix. Does a Nash equilibrium exist for this game? If so, identify the Nash equilibrium and justify your answer. If not, explain why a Nash Equilibrium does not exist for this game

Calculate the consumer surplus

Suppose Michcongan Telecom offers its users the option of paying either (a) $2.00 per minute for telephone service or (b) a $125 flat charge for a year of unlimited toll-free calls. Consider a customer with an annual demand for telephone service of P = 11 – 0.1Q, where P is the price per minute and Q is the number of minutes of calls made per year. Calculate the consumer surplus for each of the plans (a) and (b)

Physical Output method

Yakeen Company is producing three types of Joint Products A, B and C. The joint cost incurred was SAR80,000. Using the Physical Output method, allocate this joint cost based upon the following details

Products Units   Selling Price per Unit(in SAR)

A 50,0000.60

B 30,0000.50

C 20,0000.40

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