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34% of the people in U.S. have type A+ blood. 37% of the peoplein U.S. have type O+ blood.a) Find the probability that a randomly selected person in the U.S.does NO...

Question

34% of the people in U.S. have type A+ blood. 37% of the peoplein U.S. have type O+ blood.a) Find the probability that a randomly selected person in the U.S.does NOT have type A+ blood. Give your answer as a decimal. Roundto 4 decimal places if necessary. b) Find the probability that a randomly selected person in theU.S. has type A+ blood or type O+ blood. Give your answer as adecimal. Round to 4 decimal places if necessary. c) If 2 people are randomly selected, find the probability thatat lea

34% of the people in U.S. have type A+ blood. 37% of the people in U.S. have type O+ blood. a) Find the probability that a randomly selected person in the U.S. does NOT have type A+ blood. Give your answer as a decimal. Round to 4 decimal places if necessary. b) Find the probability that a randomly selected person in the U.S. has type A+ blood or type O+ blood. Give your answer as a decimal. Round to 4 decimal places if necessary. c) If 2 people are randomly selected, find the probability that at least one of the 2 has type A+ blood. Round your answer to 4 decimal places.



Answers

34% of the people in U.S. have type A+ blood. 37% of the people in U.S. have type O+ blood. a) Find the probability that a randomly selected person in the U.S. does NOT have type A+ blood. Give your answer as a decimal. Round to 4 decimal places if necessary.

b) Find the probability that a randomly selected person in the U.S. has type A+ blood or type O+ blood. Give your answer as a decimal. Round to 4 decimal places if necessary.

c) If 2 people are randomly selected, find the probability that at least one of the 2 has type A+ blood. Round your answer to 4 decimal places.

Here wants us to find the probably of the following. So for eight year, it asked us to find the probably that they're gonna be a universal donor, and that is having an O negative blood. So in this particular case here, we know that within the O blood group, we know that there are going to be a total of 6% of Americans with the recent negative factor which is going into the universal donor. So for be here us, which asked us to find a probably of a person that has type o blood. Given that the person is Reese is positive here. So I'm to find this probability here. We need to find the probability that they are going to be, um, type o with and also reasons positive. So this is going to be 37% or 0.37 over the Probably that the person is going to be Reese is positive. So in order to find this be just essentially out of the percentages of all the Americans found tohave resist positive, which is going to be 85%. And that is going to be the fraction who for C here in us to you find the probably of a person that has, um, a positive or a B negative blood. So in this particular case, a positive is going to be 0.37 And we have to add it as this is an or factor here, symbolized by the union similar plus 0.4 which is going to be zero point for one. So a 41% chance that they're going to be either a positive or a B negative. And lastly for D here, it asks us to find, um person that has Reese is positive, given that that person is negative, rather that that person has type B. So the probability that there be an Aries is negative is 2%. So is your 20.2 divided by the Probably that there are be in general is going to be 12%. So that is going to be the answer here

Let's look at this question. Black types. Okay. The probability that a person in the United States has black type A plus is 31% 300 people in the United States are selected at random. Find the probability that all three of them have a plus. So what is the probability of one person? It is 0.31 So probability off three of them. Now, these are independent events. Selecting one person does not depend on selecting any other person. So this will be this race to three. This is my answer for the first one. For the second one, find the probability that none of the three have blood type A plus. Now, what is the rob probability off one person not being a plus, it is one minus 0.31 or 0.69 So for all three of them, it will be 0169 raised to three. Remember, these are independent events, and that is why we are able to multiply them directly, see, find the probably that at least one of them has a plus. Now this in B, we have the probability that none of them has. Now. If I subtract this from one, I will have the probability off at least one of them having a plus. So this will be one minus 0.69 Cube. And is any of the events unusual? Well, let's just use a calculator to find these probabilities. This will be 0.31 race 23 And this is 0.2 So yes. 0.29 selects 60.0 three. This is 0.3 Yes, this is unusual. Zito 0.69 raise to three. This is not unusual. This is around 0.3. And this will also not be unusual. So yes is unusual.

Okay, So for this problem, we're looking at these different blood types and were given a few different probabilities associated with that part. A access to find the missing probability in this table, the probability of getting blood Type A B. Now, when we're talking about probability in total probability, we all of our probabilities add upto one. So I can just start off by saying 10.49 plus 0.27 plus 0.20 Now, whenever I obviously together, those will give me up all the probabilities combine of O and B, but not a B. So I have to add in probability of a B, and he should all add up to one. So I do. You 10.49 point 27 plus point to this gives me 0.96 plus probability of a B that you needs out of the one and using algebra. I knew that my probability my missing probability of a B is 10.4 So right here is 0.4 That's the only thing that will make this legitimate. Now, Looking at Part B says was the probability that person chosen does not have type A B blood. Well, if it's not a B blood than it has to be Oh, a or B. So looking back, we already did that when we were trying to figure that out. That's thes three probably is combined, so probably of not being a B, which is also known as the probably A B compliment, is 30.96 So for part A, we have 0.4 and part B. We have 0.96 now, it says for part C. Maria has type B blood, and she can safely received blood transfusions from people with blood type O and B. That was the probability that that a randomly chosen black American can donate blood to Maria. So we need to figure out she can get blood from types. Oh, and types B. So if we're trying to figure out the probability that someone randomly chosen can't donate, then what's the probably that that randomly chosen person has either type O or type B. So open up a page. So we need to look at the probability of O union with B this capital you in the middle here represents union. That means O or B. So we're gonna be looking at this and this. So 0.49 plus 0.249 plus point to which gives me an answer. 0.0.69 that's what we're looking for.

In this problem were given a table with some blood types and their countries. Um so part A What is the probability of type A B in the U. S. Will all of the blood and us, should that it would, with respect to this table should add up to 1.43 plus 0.41 plus 0.12 So that's the first road that'll give us 0.96 which means a B will be the remaining portion, which is 0.4 I'll just fill it out in this table here. It will be 0.0 for and Ah, since I'd see another question mark here, I'm just gonna go ahead and figure that one out as well. Same thing with Russia's a 10.39 plus 0.34 plus 0.9 and the remaining part would be 0.18 eso. Now we'll go to part B. Um, give us Dirk Azan example. Who has type B blood we're trying to find who in the U. S. Could donate blood to dirt. So we're considering people with blood type B or Oh, um, so that means the key word here is or which means we would add the two probabilities on the 0.43 plus 0.12 that will give us a zero point. Um, looks 55 in part C. We want the probability of choosing an American and a Chinese with type O blood. So the key word there is end. And usually when we see, um and it means multiply and we see or like in the previous question, we would be adding the probabilities. So this time we're multiplying them American Oh would be 0.43 and we want to multiply with Chinese, owes a 0.36 and that will give us a 0.15 for eight in Part D. We want to choose American and Chinese and Russian independently. So that's again multiplying because of end s. So that would be 0.43 times 0.36 times zero point 39 And if we multiply them all together, that will give us 0.60372 And lastly in Parts E. We want to take these three people again American, Chinese and Russian. But they all have the same blood type. So there are multiple cases here. Certainly, Part D falls into this category. There's a lot to write down, so I'm gonna start right on the left side. Here. Ah, 0.43 times 0.36 times 0.3 night. That represents, um, having all three have the blood type O. Or we could take all three having blood type eight. That would be 0.410 point 27 times 0.34 Or perhaps all three of them have type B 012 His report want to time 0.26 times 0.18 Or they could all have type A B blood. That would be 0.4 times 0.11 times 0.9 And, ah, so adding up all of these cases because in between I said or could be any of these cases, that means that you would ah, compute this And that should end up being, uh, zero point 1040 to 2 and ah, that will be our answer for part


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