use-the-following-information-to-answer-the-next-four-exercises-table-315-shows-a-random-sample-of-m

Question

Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.
TABLE CANNOT COPY

Find P(musician is a female).

Dawn Getman · Accepted Answer

Oh, hi, we&#x27;re looking at the question. They asked about the probability that a musician is see milk. So we&#x27;re going to look at the probability the musician is female and to find the probability of something. It&#x27;s the number of favorable outcomes over all possible outcomes. So in this case, the favorable outcomes would be the female musicians. So we&#x27;re looking to find a number of female musicians, and on the bottom would be all outcomes, which would be all musicians. Uh huh. Go. Here we go, a musician&#x27;s. So find our answer. We&#x27;re looking for the female musicians, so if you look in the left far left, it has gender. And if you find the road, this is female and follow that all the way to the right. You&#x27;ll see there&#x27;s a total of 72 female musicians, and then for all musicians. We can go to the bottom of that same column or the find the total on the far left and follow that all the way to the right. Either way, you&#x27;ll see that there&#x27;s 100 and 30 musicians total, which gives us when me divide it, a probability of zero 0.554 for the probability that a musician

Dawn Getman · Answer

Hi. We&#x27;re looking at the question that I asked about the probability of musician is a female or is self taught. And this one&#x27;s a little more challenging because we&#x27;ve got a look at the probability that they&#x27;re female, um, and self taught as well, a cz probability of just female and just sell thought. So remember, we need to find the probability that they&#x27;re female, something F for female, plus the probability that they&#x27;re self taught and I&#x27;ll put S t for self tart. And then we have to subtract the probability that they&#x27;re female and self taught because we don&#x27;t want a double count on those people because they wouldn&#x27;t actually be in the in the study twice. And so for answer the probability that the student is female. In general, you take the female column and follow it to the far right and get 72 plus the probability that they&#x27;re self taught. So we find the self top column and follow that down to 31 and then subtract the probability that they&#x27;re both female and self taught, which is finding that row and column and where they need, which is 12. So that means that we have a total of 91 students who are female or self taunts. And then we can divide that by the total in the whole table, because the 91 is our favorable outcomes. And remember, probability is favorable outcomes divided by possible all possible outcomes. And so 91 is our favorable outcomes and one thirties or possible outcomes. So we end up with 0.7. Thank you.

Dawn Getman · Answer

high on this question. We&#x27;re looking to find the probability that a musician is male and had private instruction. So with probability, we&#x27;re finding the number of favorable outcomes over the number of possible outcomes. So in this case, are favorable outcomes. Would be our male musicians, some musician, Okay, who is male, And they had to have private instructions. So we&#x27;re gonna follow the road that says male over and look for the column that says private instruction. And then we&#x27;re going to see where those two meet and those to me at the number of 15 and then on the bottom, we use the total possible outcomes, which in this case, would be all musicians. So when you find the total of all musicians, which is the bottom right corner of the table, you get 130. And when you divide that on the calculator, you get 0.115 which, when you round become 0.12 Thank you

Dawn Getman · Answer

Hi. We&#x27;re answering a question 57 which asked, Are the events being a female musician and learning music in school? Mutually exclusive events. So remember, the definition of mutually exclusive is to events that can&#x27;t happen at the same time. So this is can&#x27;t happen at the same time. So if we look at our table, the probability that being a female musician and learning music in school, the road that has female and the studied in school, um, columns of the female roe in the studied in school column do have a number in them. It is 38. So there are 38 students who were female and studied in school. So if we have students who did both, they can&#x27;t be mutually exclusive because they wouldn&#x27;t happen at the same time. So the answer is no. They&#x27;re not mutually exclusive because they can happen at the same time. So no, they can happen at the same time. Can happened at the same time. Thank you. Have a good day.

Dawn Getman · Answer

Hi. We&#x27;re looking at the question that I asked the find of probability. The hit was made by papers and we&#x27;re using the table 3.21 which is right above it. So to find the probability of something, we look for the number of favorable outcomes out of the total number of outcomes. So in this case, the favorable outcomes would be our hits made by Babe Ruth. And so in this case, when you find the Babe Ruth Rowe and followed all the way over to the right, there were 2873. It&#x27;s made by Babers, and the total number of possible outcomes will be the total number of hits which, as you can see in your table, is 5 12,351 And so since this multiple choice has our answers written as fractions, you just want to find the one that looks like that. That&#x27;s choice. Be so our final answer is Choice B. 2873 over 12,351. Thank you

Dawn Getman · Answer

Hi. We&#x27;ve got a question here asking the probability that a hit was made by Ty Cobb given that the hit was a homerun and we have a table of information right above to help us with that answer. Remember that the probability of any than A given B is equal to the probability of A and B over the probability of B. So in this case, we&#x27;re trying to find the probability of Ty Cobb and ah, home run over the probability of home runs. So to find our answer, we&#x27;re gonna find the Ty Cobb bro and find the home run column. And where they meet is this 114 and then the home run column itself, which would be our total for home runs for the bottom. We go to the bottom of that that 17 20. And if you look at her choices since this one doesn&#x27;t actually have it divided out, its choice B 1 14 over 17 20. Thank you.

Problem

Use the following information to answer the next …

Problem 54 Medium Difficulty

Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.
TABLE CANNOT COPY

Find P(musician is a female).

Answer

0.554

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