Student pricing at the movie theater is a common example of third-degree price discrimination. What is it about students, as compared to everyone else, that makes movie theaters want or need to charge them a lower price? Why is it important for movie theaters to make students show their IDs? Additionally, suppose a student could buy as many tickets as they wanted with their ID. How might that limit the theater’s ability to charge two drastically different prices for students and non-students?

An offline retail store called CoolStore have customers that are either students or not. Customers can buy a plastic bag or not. We know for a fact that: Twenty-five percent of all customers are students. Among customers that are students, eighty percent buy a plastic bag. Among customers who buy a plastic bag, fifty percent are students. Forty customers are chosen at random. The probability is one percent that the number of customers buying a plastic bag exceeds what number?

5) A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 4.0 and σ = .75. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students. µ = Population Mean σ =Population Standard Deviation [2.5, 5.5]

It is known that 72.3% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. Students are selected randomly. In a statistics class of 44 students, a. what is the probability that at least 29 students will do their homework on time? Use the binmial probability formula. Round your answer to 3 decimals. b. what is the probability that exactly 31 will do their homework on time? Use the binomial probability formula. Round your answer to 3 decimals.

A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 considered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your conclusion?

The merry-go-round rotates counterclockwise with a constant angular speed u. The distance between the horse on the merry-go-round and the rotational center is r.

(a) Find the position of the horse x and its velocity v, v(t) = d/dt x(t), as vector-functions of time.

(b) Find the acceleration of the horse, a(t) = d^2/dt^2 x(t), as a vector-function of time. What is its direction (in comparison with the direction of x)?

Now the same horse has a non-constant angular speed u(t) (the merry-go- round still rotates counterclockwise).

(c) Find the position of the horse x and its velocity v, v(t) = d/dt x(t), as functions of time.

(d) Find the acceleration of the horse, a(t) = d^2/dt^2 x(t), as a function of time.

(e) What is the direction of a(t) at the moment when the merry-go-round starts to rotate?

1. The parking orbit of an Earth satellite has apogee and perigee altitudes of 850 km and 250 km, respectively (this orbit is sometimes referred to as an 850 km x 250 km orbit). (a) Determine the delta v required to circularize the orbit using a single-impulse burn at perigee. What is the period of the resulting circular orbit? Sketch the two orbits, indicating the point where the impulsive burn occurs. (b) Determine the delta v required to circularize the orbit using a single-impulse burn at apogee. What is the period of the resulting circular orbit? Sketch the two orbits, indicating the point where the impulsive burn occurs. (c) Compare parts (a) and (b); which is the least “expensive”. (d) Determine the delta v required to escape from the perigee of the parking orbit. (e) Determine the delta v required to escape from the apogee of the parking orbit. (f) Compare parts (c) and (d); which is the least “expensive.”

1. Given the data below (spread plate counts in CFUs/mL and OD reads for S. aureus) create a graph of time v. CFUs/mL, time v. OD = 600nm and OD = 600nm v. CFUs/mL (2 pts). Then calculate the growth rate and the generation time for this organism. (1 pt) Turn in images of your graphs and show your calculation work.

2. Say we create a graph of OD = 600nm v. CFUs/mL for S. aureus… What is the OD = 600 nm reading measuring? And are there any factors that could affect the results from assuming that a particular OD corresponds with a specific bacterial concentration? (1 pt)