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If a student was an undergraduate business major; what the probability that the scudent intends t0 Ittend classes full-time pursuit of an MBA degree? (Round your an...

Question

If a student was an undergraduate business major; what the probability that the scudent intends t0 Ittend classes full-time pursuit of an MBA degree? (Round your answer to three decimal places_Let 4 denote the event that the student intends attend classes full-time pursuit of an MBA degree_ and let denote the event that the student was an undergraduate business major; Are events and independent? Justify your answer (Round your answers to three decimal places: )P(A)P{B)and P(A 0 B)the eventsSclec

If a student was an undergraduate business major; what the probability that the scudent intends t0 Ittend classes full-time pursuit of an MBA degree? (Round your answer to three decimal places_ Let 4 denote the event that the student intends attend classes full-time pursuit of an MBA degree_ and let denote the event that the student was an undergraduate business major; Are events and independent? Justify your answer (Round your answers to three decimal places: ) P(A)P{B) and P(A 0 B) the events Sclecte independent:



Answers

Express your probability answers as a decimal rounded to three places. Educated CEOs. Reporter D. McGinn discussed I Rep. Reporter the changing demographics for successful chief executive officers (CEOs) of America's top companies in the article, "Fresh Ideas" (Newsweek, June $13,2005,$ pp. $42-46$ ). The following frequency distribution reports the highest education level achieved by Standard and Poor's top 500 CEOs.
$$\begin{array}{l|c} \hline \text { Level } & \text { Frequency } \\ \hline \text { No college } & 14 \\ \text { B.S/B.A. } & 164 \\ \text { M.B.A. } & 191 \\ \text { J.D. } & 50 \\ \text { Other } & 81 \\ \hline \end{array}$$Find the probability that a randomly selected CEO from Standard and Poor's top 500 achieved the educational level of a. B.S./B.A. b. cither M.B.A. or J.D. c. at least some college.

To find the probability of an event. We take the number of favorable outcomes and divided by the total number of outcomes. So in this problem, we're finding the probability that Donovan visits an out of state college if you randomly selects from 10 out of state colleges and foreign state colleges. So the number of favorable outcomes would be 10 because he has 10 out of state colleges on his list and the total number of outcomes would be 14. Because there are 14 colleges on his list altogether. Let's reduce that fraction, and we get 5/7 and that's the probability that he will visit and out of state college. And then we can convert that to a decimal. We're going to have to round it to three decimal places, and we get 30.714 as the probability of visiting and out of state college

You Actually A is a student is a female, and B is that the majoring is business. Yeah, eso And the probability of the student is male or majoring in business can be written ahead a compliment or the and me or a compliment question point me? Um, the probability is a female is majoring in business can be regional or, in other words, a student is majoring his business. Given that it's a female problem. See on the probability a business major is a female eso. It can be written as a given giving me problem. D the probability the student is female and there's not majoring in business. This can be read an ad burrito A and B compliment or forward off me compliment and eight cushiony. The probability the student is female End is majoring in business, so it can be written as probably go away and be or or ability off me. And okay,

For this question, we are given that the probability of a is no 0.3 on that. The probability of B is no point for were also told, a on B ah independent. And now we're also find three things. So the first thing we need to find is a possibility of a Andi Bay now, because he's too independent. And they told us in the question, This is simply the poverty of a times. Probably remember, this equation only holds when they're independent. So always do for this one, this Southern on no 0.3 to the probability of a and times that by no point for which is a probability of B, gives us no 0.0.12 And that is the answer. Don't be ourselves to find the proper C will be given a confidence when you remember our conditional probability formula. The problem should be given a It's provocative A on me over the pole Mersey off. Okay, so all we need to do now is substrate in our value. So probably to A and B, we just worked out. There's no 0.1 to when I need to divide that. But no 0.3, which is the probability off a Well, it gives us no point full. So the last part also since the probability of a given me, which is exactly the same as but both but we spot the A and B round. So now we're dividing by the probability. Okay, what gives us no 0.12 divided And this times that have no 0.3 were using no point before. That is perversity off. Being this gives us no point. And there's all the three months.

Any question? Fortin gonna look at students at university picked randomly and see whether or not the album he's, um, or a MasterCard or the boat. Um, so they're given they give us a couple probabilities to go along. This so probability that someone has a visa right Like that. That probability is 0.5. The probability that a student has a MasterCard is point for and then the probability that they have both Hey, can be that is evil. The 0.25 All right, So, hey, compute the probability probability that the selected individual has at least one of the two types of cards. AII the probability event a union Be right. So let's try a little Ben diagram here. Toe resent What's going on? So here, event A. So the people in this one have seasons. These people have massacres. And the part and teach me Didn't hear they have. Okay. Now, um, the probability that you are in this circle over here is went by. Probably you're in this surf of year is 0.4, and the probability you're in both circles this 0.25 now, they want us to find the probability that you're either one of the two circles. Hey, so find the probability of a union. So what's the probability of that? You're in any of these locations here? All right, So, basically, if you were to just say, the probability of a was probably be what? You'd be pretty darn close. But here's the idea. If the probability is this area here and the probability of B is this area year, you see how we counted this part right here twice? Okay, that basically, when you add that, probably a at the problem together, you're double counting the intersection. So we actually have to subtract from that. The intersection part of day, which is probably that is 0.25 All right, so we end up getting 0.9 minus 0.25 So the probability of a union be his 0.65 All right, so then the next part says, What's the probability that selected individuals as either type of car? Okay, so that would be anyone who's outside of both these circles. So the probability of neither card neither, um would be one minus 100%. I mind this point spot. So that would be point, Reba Yeah, All right, then Finally see described in terms that you can be the event that selected student has a visa card, but not in MasterCard. And he calculated probability of this. So has a visa, but not a master. Right. So as a visa means you're in a but not abuse in submarines. We want to have this area year. Okay, so we don't wanna have this area year. He is not. All right, So, um, we want to know where, um, Just this part, See? All right, so steers the probability that you have a visa card, but not a MasterCard. So we wanna do is want intersect A with all the people who don't have be there will be a be there. Right? So basically, it's gonna be point, but we want to take out 0.25 That's, um um, that's the overlapping here. 25 that out. So our final answer would be to five


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