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In a population of 100 individuals, 36% are of the NN blood type; What percentage is expected to be MN assuming Hardy ~Weinberg equilibrium conditions? 4896 4096 42...

Question

In a population of 100 individuals, 36% are of the NN blood type; What percentage is expected to be MN assuming Hardy ~Weinberg equilibrium conditions? 4896 4096 4296 4596 Cannot t0 be determined

In a population of 100 individuals, 36% are of the NN blood type; What percentage is expected to be MN assuming Hardy ~Weinberg equilibrium conditions? 4896 4096 4296 4596 Cannot t0 be determined



Answers

Blood Type About 45$\%$ of the population of the United States and Canada have Type $\mathrm{O}$ blood.
(a) If a random sample of ten people is selected, what is the probability that exactly five have Type O blood?
(b) What is the probability that at least three of the random sample of ten have Type O blood?

Okay, so we have a sample sample of 10. We have a probability equal to about 45%. 0.45 And for part A. It's saying where the whistle probability that exactly five are going to have this disease soapy of our equals. Fine. So then we'll have this is gonna be equal to end. Choose our 10 shoes. Five. So 10 factorial over five factorial Find factorial times probability of success, which is your 0.45 to the fifth hour time. 0.55 to the fifth Power. So then, once we calculate what all of that is going to be, which let's go ahead and figure out what that is, we'll have well, in that being zero. Wait 23 40 approximately. Okay. And then for part B R. Question is, was the probability that at least three of the random sample I didn't have type O bloods that sink p of are greater than or equal to three, which I'm willing to go ahead and simplify this toe? One minus p r equals two minus p r equals one minus. P. R equals zero so that we have to calculate fewer of those p of ours to make it just a little bit easier. It's still gonna be quite a few different calculations. But so then, if we d'oh p of our equals two, then we're doing our in choose to or 10 shoes, too. So we have 10. Choose to. It will be 45 then we'll have the probability of success squared times the probability of failure to the eighth power, which gives us zero point 0763 and then we'll have the probability of our equals one which will be 10. Choose one thing God, because that's a very easy one to d'oh! And what they'll end up being is just 10 still have 10 times our to our success to the one power times our failure to the ninth Power now give us a minus 0.207 and finally, that we have zero successes. So 10 to 0, which is gonna be zero or sorry is going to be one. Then we'll have that times 10.45 to the zeroth carver, which is gonna be one. Then we'll have 0.55 to the 10th power. It will be this very small number. And so once we calculate all these values one minus 0.763 minus 0.207 minus 0.25 we end up getting 0.9005 for our final answer.

So no deep in this problem, it is given that probability off type Oh, blood is 0.45 and for a Bablu tee off dark type this 0.5. So therefore know this first support, which is probably t o life. People having type o is can see five multiplied with 50.45 using binomial Children and point 55 days to fight. So therefore are required. Probability is 0.23 40 If we saw the probably. So no, The second parties probability off at least three people having type. So therefore, we can go on the otherwise that one minus off people less dentally documents at most three. So which will be 30.55 These 2 10 miners 0.55 raise too nine 0.4 fight in 2 10 minus can see toe 0.55 race to it were deployed with 0.5 raise toe. So therefore the required probability is 0.9 004

This question asks any particular hardy Weinberg population. There are only two I colors brown and blue. Of the population, 36% have blue eyes. The recess of trade war, percentage of the population is Hedorah zaius. So if we know that the blue I treat is going to be recessive, we could call this Ah ho Mose August individual that is going to have to lower case be a leal's. So the lower case be Leo is going to be recessive and codes for blue, whereas the upper case of DiIulio is going to be dominant and it encodes for brown eyes. So we said that 36 were 0.36 are going to be lower case Blue. Lower case. Lower case. Be lower case. Be so homeless, I guess. Recessive. So how do we determine the percentage of the population that is Hatteras Iess? Well, we have to understand that our, um, Hardy Weinberg equilibrium tells us that if we have a homeless Vegas individual that could be labeled as p squared, then another Hamas August individual displaying a different set of traits. So let's say this one right here the dominant brown, this one is going to be Q Square. All right, So what you saw for P? We are simply going to take the square root and what we find. Well, we find that P is equal to 0.6, and then that means that if we are going to have our a Leo's right, we know that P plus Q will add up to one. So now we plug in for P and we get one is equal to 0.6 plus cute. That means that Q is equal to 0.4. So now what does that mean? Well, that means that we can now finally do the last portion which is apply this equation, which is to peek you that represents our hetero zaius individual with one dominant only on one recess of Leo. So we simply take two. We multiply that by 0.6 and we most by that by 0.4, and that will give us the percentage of the population that is going to be Hatteras itis. So multiplying two times 20.6 times 0.4, we're going to get 0.48 So that means that 48% of the population is going to be hetero zegas. We'll have the headers. Iess, Leo So going back to answer choices choice be corresponds with 48% and that is why choice these the correct answer.

All right, so good day everyone now in this problem we are dealing with probabilities. So human blood types is group into four types. The percentages of americans with each type are listed below. So as you can see here we have for blood type O we have 40% of 43%. Sorry, For blood type a we have 40%. For blood type we have 12%. And for blood type A. B. We have 5%. So we will ask or if we have to choose one American at a random, what is the probability for letter A. That a person is our has blood type B. Okay, so this um these blood types, All the percentages sum up to 100%. No, it can easily find we can easily find the probability of which a person has a blood type B. Now the percentages of a person that has a blood type B is 12%. So for a letter A. Now the letter A the answer is the probability of blood type B equal to simply 12 percent. Because you can see this are the data below the types of percentages We have is 100%. And of course for blood type B, the percentages of americans that has a blood type B is 12%. So that is our final answer. Now for letter B. four, letter B, we we are asked to find what is the probability that this person has blood type A. B. Or. Oh okay. So if you write this invitation, we can write it as probability of blood type A. B. We can write A B. This is the blood type A. B. And take note of the word or so in symbol. We can write this when or into like this or seems all illustrate. Or it can notes the union. Okay. The union of uh certain probability. Okay so or or union of blood type. Oh so that is awareness ah notation. We are asked to find the probability of blood type A. B. Or oh okay. Now so the probability of blood type A. B. Is 5%. Sorry. We can write this in in the form of probability of a blood type A. B. Plus probability of blood type O. My nose. The probability of the intersection A. B. Intersect. That is the notation of the intersect intersection a small end or just a curve downwards and a blood type O. Okay so so this um formula equates to this equation we have here. Okay so let's continue now. The probability of blood type A. B. S. So you can see 5%. So we can write it us five percent. Okay. Plus The probability of blood type O. is 43 percent. Okay. Sorry so it's 43 percent. Okay, my nose. Take note that there are no intersections. Okay so blood type O. Is different from blood type A. B. So we can write it us The probability of their intersection is zero. Okay. So because there is no blood type A B. All right. Okay. So let's continue. We will then. Just simply I The percentages 5% plus 43. We have 48 percent. Okay so that is our answer for letter B. Now, last letter for letter C. The problem ask what is the probability that a person does not have blood type or type O? Blood? Okay so this is just simply a compliment. The probability of a complement of an event event or the blood type O. Okay so we can write it us probability of blood type O. And it's compliment compliment means not blood type O. Okay so you can see there the percentage is that a blood that it that it is not a blood type O is here. So we will just simply add them. So 40% plus 12% plus ah 5%. Yeah. Is equal to so 40 to 52 is equal to 50 seven. So that is our final answer. Okay, so I hope you have learned something. So um for letter A again the answer is represent for letter B. 48%. And for letters see we have 57 percent right.


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