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(21 It is known that 72% of college students like rap nusic find - probability that: Exactly 3Olike Music Bctwcen 28 and ?2/7k0 ND MusIC Laathan 2like rp MutIC More...

Question

(21 It is known that 72% of college students like rap nusic find - probability that: Exactly 3Olike Music Bctwcen 28 and ?2/7k0 ND MusIC Laathan 2like rp MutIC More than 28 like (@p_qusicgroup of 42 students;

(21 It is known that 72% of college students like rap nusic find - probability that: Exactly 3Olike Music Bctwcen 28 and ?2/7k0 ND MusIC Laathan 2like rp MutIC More than 28 like (@p_qusic group of 42 students;



Answers

Determine each probability if a student is selected at random from the class.
$P(\text { drama or music) }$

In this question were given three bits of information on all what extra information we need to determine the probability that a student selected is part time. Andi, You see the end that Andi will graduate in four years now. The information we've given has is the percentage of students at a part time, which is good soup on a short part. Time to pay when we get told, that's no point. Three A sounds good, but with the graduation we get told the if it's a private institution, then no 0.79 And if it's a public institution, it's no point for knowing. But what we don't know is what percentage of people go to public or private schools because we don't know, because private, even though, is much higher. It might be a much look Senator people, so this probability here is for the general color shooters. But because this is split into private and public on, we don't know by how much like this might be 20% and this is 80% or it might be 10% 90%. So without that information, this would be impossible. And that is exactly what the questions asking us. So the addition information you need is portion of students who attend a private college

This problem we're told 70% of a population at the University of michigan disapprove of daily possible some things are p values 0.70 We were told that 18 of these are going to be selected at random and so are in value is 18 and so in general, the probability of Acts of them disapproving is 18 choose X. 10.70 to the act times 0.3 to the 18 minus X. Just using a binomial distribution. Now we want to find the probability that more than eight but fewer than 14 disapproved. And so we want X to be between eight and 14, strictly less than that's what this means. That we will have to add up all the proof probabilities from 9 to 13, 9 to 13 because it's not a not 14, it's just strictly between those of 18, jews axe times 0.70 to the Acts times 0.30 to the 18 minus X. And so we're gonna plug in 9 10, 11, 12 and 13 and then add them all together. And when we do this will give us our probability of 0.64 64

For all of the students, so it's going to be 11 plus 18 plus two Plus 1, which is 32. And so choosing students between 18 to 21 years old is There are 11 plus 18, Which is equal to 20 nine. So the probability of this event happening is 29 over 32.

In the given problem, we have total 72 students off room. We have 44 female students and 28 male students. Now it is also given that out off this body, four 12 are going toe college. That means what we have again. 12 who are going toe college. So how many of these will not be going to college? Of course 32 not want to college. So just roughly. Writing non college now again in meals there are the nine who are going toe college. So off course there would be 19 who are not going toe college. Now they're asking the first question that a student is selected at attractive. That means out of this 72 people were choosing one student. So if I don't speak off anything clearly there will be how many ways off selecting one student. Clearly, there will be any off the 72 people can come, so it will be 72. But they now have a condition here. They're asking if a person is selected and random. What is the problem? That he or she goes toe college? That means what only these 12 girls and these nine boys, only they are eligible. So we want to choose somebody who goes to college. Right? So that's why the answer would be 21 by 72. This will be the answer. Now, for the second part, they're asking that What is the probability that the person is not going to college? All right? So far, not going to college. It has to be this and this. So that should be 32 plus 19 divided by 72. So this will again be one on over here, truthful by 51. Now, this is a brilliant example to show you probability off E plus probability off a compliment should always people. If you see there are only two cases either college going or not going to college. So if we find out property off a student who is going to college is 21 by 72 then property off Not going to college would be one minus 21 by 72 which will yield the same reason. So minus 21 this is giving me one hand in five. So you see, you're getting the same answer on now. The boats, part C. So it asks that was a probability that it is a girl who is not going to college. Now let's figure out it's how many girls are not going to college. It's this. So what is the probability off a girl not going to college? It will be 32 by 70 to off course. We can simplify it and blah blah, blah. But correct way of understanding is the fraction and not about simplification, because simplification is a standard task that any student of class five or four can do. But we're in higher standards, and we should be able to understand the mathematics and not the calculations. Calculations can be done with calculate calculators and computers. So 32 Why? Because this is the number off female students were not going to call it pretty, isn't bye bye?


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