The ratio X/N also has a binomial distribution

questions based on chapter 2 exercises:

(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.

Today we have an amazingly quickly developing mechanical headway and numerous researcher’s see a future where we are helped out innovation in our bodies. Numerous organizations are creating clinical items, and some are making all the more recently created thoughts which could had been taken out from a sci-fi film, for example, the thought from the organization Sanctuary. Asylum is a counterfeit general insight (AGI) organization having the objective to make machines like us, ready to think and carry on like people. Haven call them synths and is what they will be, manufactured insight, or right? What is insight? What’s more, would we be able to figure out what’s “engineered” insight or just knowledge?

I believe that a portion of the basic premises that lie underneath the way to deal with comprehend insight is that it’s a property of a physical body and can’t be disengaged or segregated from it. Like us people our knowledge developed to help us as a life form to more readily explore and control our condition to assist us with documenting our objectives, and I accept that all together for a synth to comprehend the world similarly as we do, it needs a body that is as near a human body as could reasonably be expected. I imagine that if its body work a similar route as a human body, it will assist manufactured insight with developing ideas and a comprehension of the world that is like the manner in which our own personalities work.

A few organizations are creating human body changes and human improvement in the reason for clinical use, today we see body prosthetics on people being utilized by their cerebrum signs to control their development however sooner rather than later I might suspect we will start to see non-therapeutically body alterations as prosthetics to the body parts we as of now have, joining innovation such that make us more robots.

In any case, making manufactured insight look and act like us people, while we simultaneously make ourselves seem as though engineered knowledge consolidating us with prosthetic body parts, isn’t that creation us nearly the equivalent? We can both think, we have a similar body shape, we are both part robot, and we are one might say both human. When do we arrive at where we are more machine than human? What’s more, would we be able to distinguish synths in a point where they are similarly as people as us.

I feel that people will make significant alterations on our body in the following short measure of time and when we arrive at where the contrasts among synths and people are nearly gone, I believe that what will decide an individual from a synth will be that it was conceived as a human and not made from innovation. In any case, on the off chance that you make babies from both “races” which both end at a similar point in life where they are genuinely indistinguishable I wouldn’t state that they were extraordinary! I would state that they would be a similar sort of being, the two of them can think, have sentiments, and carry on as one another. It is state that white individuals are superior to dark individuals! Also, it would be a similar thought since they are genuinely indistinguishable. We would simply have made the outsider we have been searching for the opening time or made another correlation with an individual with another sort of development.

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