find-the-probability-that-a-randomly-selected-adult-who-does-not-smoke-is-between-45-and-64-years-of

Question

Find the probability that a randomly selected adult who does not smoke is between 45 and 64 years of age (inclusive).
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Find the probability that a randomly selected adult who smokes is between 18 and 44 years of age (inclusive). 38. Find the probability that a randomly selected adult who does not smoke is between 45 and 64 years of age (inclusive).

Haggai Liu · Accepted Answer

okay. We need to find the probability that I&#x27;ve met a person is of age 45 to 64 given that they do not smoke. Okay, well, says we&#x27;re interested in the second Age Group. Would Look, we need to look at this. The second row here of the table. Okay, Um, now, since they don&#x27;t so so we can&#x27;t quite look at just these products directly says we&#x27;re given that they don&#x27;t smoke instead of the fact that they do smoke. So instead of looking at instead of just using this product that I&#x27;ve circled in red, I need to I need to take this green circled number and subtracted. So? So when I mean, it&#x27;s gree this green circle numbers subtracted. Red circle number. Okay. And what would that give us? That&#x27;s work. That out on the calculator. So points reform minus 0.7 for eight. That&#x27;s 0.2652 My brave Onda, who, instead of looking at the total of these products, you need to subtract one from it or two. Oh, Uh, 31 Asher B 0.7 se 7969 Okay, so then this Just 0.2652 over it. 0.79 69 Okay, so let&#x27;s do that. We have. Let&#x27;s work that out on a calculator. We get around 0.33 three. Thank you for watching.

Haggai Liu · Answer

All right. So we need to find the probability of a person being aged 18 to 44 years, given that a smoke. Okay, So, off course, the first thing we need to do is compute a product of those common rolls of the last two columns here. So I do point for nine times point 23 That gives us 230.11 to 7. Now that second roll point to 4.34 times 0.22 gives us corn. 07 or eight. Then we have 0.9 times 0.12 gives us 0.1 08 And finally, the last one should give us. It&#x27;s zero point 00 for eight. Okay, Now, let&#x27;s add up all these numbers together. Get ah 0.11 to 7 plus 0.7 for eight plus point. 01 Oh, wait. Plus quite Oh, for it. That gives as a total 2.203 What? OK, so social, Asking for age between 18 to 44. We&#x27;re looking at the first row of this table here. And ah, by based rule, would we just do is multiply The foot is take the first product, which is 0.11 to 7 and divided by the total of all these products. Joe Poi to 031 Okay, so 0.11 to 7. Divided by point. Ah, 2031 That gives us around 0.55 five. Thanks for watching.

Matt Bremer · Answer

problem. 16 were given the information that 55% of all adults regularly consume coffee and 45 regularly, so that and 70% regular we assume at least one. Um, so I drop a little, then diagram of the situation. We&#x27;ve got it. You got the coffee drinkers in this on the left soda drinkers circle to the right. Um, we want to know the probability that someone, uh, consumes both coffee. And so Okay, so we want to know what this area here I remember from the last problem that, uh, 70% drink. At least one of these means either the people here or in the middle or over here, So at least one. So you could be one, maybe the other or both. All right, so this is actually the union of A and B. Now, if you do the probability of coffee, um, probability of a and you find that you know, the union of that is 0.70. Well, if you do the probability of a, um plus the probability of B, that would be this circle plus this circle. Basically, what you&#x27;re gonna get for that is that these people in the middle of get double count. They get double counted because the 55% includes this middle, but that 45% awesome clues this metal. So this minus the intersection Come No, I These probabilities air really unnecessary. 55% drink coffee means a randomly purse. Randomly pick person has a probability of 550.55 minutes that could be used. I&#x27;m not sure. Context. These could be numbers that are inside home. That equals a problem with you. Okay, so we know that 0.55 plus 0.45 minus, this probability is gonna equal 1 70 Okay, so this is 100%. All right, this is one. And so one minus 10.3 is gonna give it 70. So the probability that someone does both probability of both people free or you could say 30% of people in a survey or whatever and they all right, next question on here. So it was probably that a randomly selected adults doesn&#x27;t regularly incident either of these products. Well, um, if we know that 70% ah, of them is the union of the tubes of 70%. Is everybody in here? That means that people who don&#x27;t talk or so that are the people outside of both the circles. Okay, so that would be one minus, um, 0.70 right, which equals 43 ends up the same answer. That&#x27;s a coincidence.

Ankit Gupta · Answer

we have number off known smokers Oh, equal to it. And we have the total number. Persons is given to be 1 80 We need to find operability off. A person is known smoke good So which is equal to 80 a bone 1 30 That is number off smokers divided by total number off persons which is equal to eight upon study This is over.

Sheryl Ezze · Answer

on a pie diagram, and we wanna find some probabilities from that pie diagram. We want to find the probability if we randomly choose a person that the person is at least 15 years old, and if we look at that, there are a lot of wedges. But if you look at, there are two wedges that are not included, and one of the categories is under five and that is 7%. And another of the categories is from 5 to 14, and the that category is 13%. So we could go around and add up all of those other wedges, and that would give us our answer. But it&#x27;s actually easier to find what we don&#x27;t want. So if we find one minus the probability of what we don&#x27;t want, which is somebody who is less than 15 years old, we can actually get that answer more easily. So the probability and I&#x27;ll put it in terms off. We&#x27;ll do it in terms of percent. So if we have 100% less and then we if we add up these two categories, we get 7% and 13% is 20% so that will give us 80% and you will get the same answer. If I take all of the wedges that are ages that are 15 and older and accumulate them because all of the probabilities will add up to 100% and then Part B. We want to find the probability that someone randomly chosen is from 25 years old. 2. 44. And that is two of the wedges. The first wedge is from 25 to 34 25 to 34 years old, and that includes 13% of the people. And then we have from 35 to 44 and that is 13% of the people. So accumulating those together, we get 26% super, yeah.

Ankit Gupta · Answer

let me off a denote capability off a person who is known smoker is equal to 80 a bone 1 30 Let be off. Be denote the probability off a person who has elevated blood pressure, which is equal to 27 upon 1 30 And let the off a intersection B you know, to operability off a person who is unknown. Some occurred and has elevated blood pressure, which is equal to nine upon 1 30 Now we need to find the operability off. A person is a non smoker or has elevated that pressure. Letter C. Note. It would be off a union be which is equal to P off a plus B off B minus feels a intersection B now putting the value of p o Fabi off B and B off Intersection B, we have 80 upon 1 30 plus 27 upon 1 30 minus nine upon 1 30 which is equal to 98 upon 1 30 which is equal to 49 a born 65. This is over

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