(1) based on exercise 22
A) Discuss how you might map correlation values from the interval [-1,1] to the interval [0,1].
B) Consider two time series as two sets on numbers: e.g. S1 = {3, 5, 7, 8 , .., 4, 7} and S2 = {5, 5, 8 , .., 9, 7}. You need to come up with 2 sets, each having 100 elements. You can make them random if you like.
1) Normalize each set in range [0,1].
2) Find the probabilities of S2 in the ranges [0,0.1], (0.1,0.2], (0.2,0.3], .., (0.9,1] when S1 are in the same ranges [0,0.1], (0.1,0.2], (0.2,0.3], .., (0.9,1] respectively, (find probability of value of S2 in the range, given the value of S1 is in the same range).
questions based on chapter 4 exercises:
(2) based on exercise 12
Let X be a binomial random variable with mean N * p and variance N * p * (1−p).
A) Show that the ratio X/N also has a binomial distribution
B) Show that the ratio X/N also has mean p
C) Show that the ratio X/N also has variance p * (1 − p) / N
questions based on chapter 5 exercises:
(3) based on exercise 6
A) Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students who smoke is 23%. If one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student?
B) Given the information in part (a), is a randomly chosen college student more likely to be a graduate or undergraduate student?
C) Repeat part (b) assuming that the student is a smoker.
D) Suppose 30% of the graduate students live in a dorm but only l0% of the undergraduate students live in a dorm. If a student smokes and lives in the dorm, is he or she more likely to be a graduate or undergraduate student? You can assume independence between students who live in a dorm and those who smoke.
Getting a vehicle is itself a way to another end. A methods for finding a good pace work. Furthermore, obviously, finding a good pace work is the way to another end, finding a workable pace a vocation, at that point to get passing marks or being beneficial and bringing in cash, at that point and so forth. All things considered, this is the place Aristotle frequently pondered an extreme end and if there was one. What’s more, that give us a reason or a ultimate objective. Which drove him to the idea of joy as our ultimate objective. What activity is going to lead us to get the most noteworthy great? Everybody has an alternate thought of what joy to them is and how to arrive at it.
A few people characterize bliss as something that is “noticeable and substantial, for example, joy, riches or respect. What’s more, it varies from individual to individual, yet it can likewise mean various things to a similar individual at various occasions. For instance, on the off chance that I am wiped out, wellbeing is what I’m making progress toward. On the off chance that I am poor, riches is what I’m making progress toward. Hence, we comprehend that there’s an extreme decent on the grounds that there is a reason for goodness in them. We have a natural inclination that the great is something that has a place with us and that it isn’t something that can be handily detracted from us.
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Kant accepted profound quality to be deontological; the word ‘Deon’ when interpreted is the Greek expression for obligation. Consequently the deontological contention depends on doing acts since they are acceptable in themself and not founded on the outcomes or different components including feeling. Kant guessed that one had the option to make an ethical framework dependent on reason. People have reason above impulse, and this implies our inspirations go past negligible delight .In this article I will clarify and talk about the deontological contention supported by Kant.
Kant addresses being acceptable and presumes that positive attitude is the will to make the best decision. It’s bad a direct result of what you can receive in return but since it is acceptable in itself. People are flawed and will in general act as per their wants, which isn’t ethically acceptable. A model being if a businessperson gave their client the right measure of progress; on the off chance that they did this because of dread of being gotten out by giving their client an inappropriate the change then the demonstration is certainly not a by and large great act be that as it may on the off chance that they restored the right change not considering the outcomes however doing it for the correct explanation and simply keeping in mind the ethical standards. Ethical quality is an arrangement of decides that you place on yourself; moral principles come to us, as we are balanced creatures. A few reasons we can’t overlook and apply to everybody.
Clear cut objectives are sayings; this being decides that you need to do constantly paying little mind to conditions. Kant gives three distinct plans about the straight out goals. The first of the three plans is universalisation he composes ‘ I should never to act aside from so that I could likewise will that my saying ought to become universalised’. By saying this he expresses that one should just act such that bodes well for you yet in addition in a way that is significant and would permit every other person to act similarly. An individual’s ethical law is their will and should be predictable. A model being one must not lie, this is a significant proverb as though everybody lied the world would be degenerate and genuineness would be a futile attribute as falsehoods would be the standard and reality would be lost in interpretation. It very well may be accepted that our activities are simply us looking for joy and maintaining a strategic distance from torment anyway Kant presents an unmistakable clarification in ‘Preparation of a Metaphysic of Moral’ where he contends against this point by expressing that in the event that joy were the main thing to spur our activities, at that point we would be just have nature to direct us, as intuition gets the job done for getting delight.