Why do you think that in real-life examples, you always have a combination of fallacies (as opposed to just one)?

Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 77 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc. The high school is looking at the data and examining two variables: laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or…

Question 3 My friend, Ahmad, is trying to determine which of two opportunities he should invest in (only one of them). His options are Bitcoin and S&P 500. If he invests in Bitcoin, he believes that he has a 10% chance of making 15% profit, a 25% chance of only 8% profit, 15% of losing 10% of his investment capital (-10%), and a 50% chance of no change in his investment capital (0%). IH Ahmad invests in S6PS00, he has a 70% chance for the 8% profit, a 25% chance for no change (0%), 3% chance for losing -10%, and 2% for a 15% profit. Ahmad is indifferent between the following lotteries. 15% o and also indifferent between 15% and If Ahmad wants to invest in what maximizes his expected return on investment, which investment is the best? Please note: x-0.79 and y-0.06. In the box below put the expected utility for the investment he should pick. Write your answer with three decimals.

Please explain the answer alongside the steps. Thank you!

Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 75 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc.   The high school is looking at the data and examining two variables: laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or…

EVE Online is a space-based multiplayer game, where players use spaceships to engage in combat, industry, exploration and other activities. Players can design their own ships, incorporating ship systems that affect a range of different critical variables. In combat situations, one such critical variable is ”capacitor recharge rate”: the capacitor stores energy used for activating both offensive and defensive ship systems. A spaceship that runs out of energy rarely survives for long. The capacitor recharge rate varies with how full the capacitor is currently. The recharge rate is determined by the differential equation dC/dt = 10 M/T [√(C/M) − C/M] where M is the capacitor’s overall capacity for holding energy (measured in gigajoules, GJ), and T is the time (measured in seconds, s) taken to recharge from zero to a standardised fraction of M. a) Using Rolle’s theorem, infer that there is a maximum value for dC/dt for some C ∈ (0, M). b) Treating M and T as constant, show that dC/dt is at…

Elaine Benes is considering three possible ways to invest the $200,000 she has just inherited. Some of Elaine’s friends are considering financing a combined laundromat, video-game arcade, and pizzeria, where the young singles in the area can meet and play while doing their laundry. This venture is highly risky and could result in either a major loss or a substantial gain within a year. Elaine estimates that the chances of losing all the money (i.e. loss of $200,000) are 47%, while the chances of making a $200,000 profit are 53%. Elaine can invest in some new apartments that are being built in town. Within 1 year, this fairly conservative project will produce a profit of at least $10,000, but it might yield $20,000 or even $30,000. Elaine estimates the probabilities of these yields at 20%, 50%, and 30% respectively. Elaine can invest in some private securities that have a current yield of 5%.  Construct (draw) a decision tree for Elaine to determine which investment will maximize her…

You are the VP, Advertising for “Yo’ Mama” brand, a fashion label that caters to the young, trendy crowd with an urban, hip-hop image. While your customer base has traditionally been largely African-American, you have recognized a tremendous influx of Hispanic consumers into your market.  You are preparing for next week’s annual budget meetings and you have decided to recommend an Hispanic-focused advertising campaign if the average monthly per store sales to Hispanic customers are at least the same as the average monthly per store sales to African-American customers in a sample of typical stores (sales data given below).  Using an alpha of .05 and the 5-step hypothesis testing process, what will you recommend?  Hint:  Think about how many data points you actually have.

can you amswer d,e?

If there are three kinds of cat food an experimenter will be feeding to cats and measueing the amount, they are feed, to then predict the number to active minutes the cat has in a day. They want to include the kind of cat food as a dummy variable. (a) Propose a scheme with 2 dummy variable in addition to the constant that would work and show it works? (b) Do the following propsed dummy variable schemes work? (show your work)