Question

At a large university, the Statistics Department has tried a different text during each of the last three quarters. During the fall quarter, 600 students used a book by Professor Median; during the winter quarter, 400 students used a book by Professor Mode; and during the spring quarter, 300 students used a book by Professor Mean. A survey at the end of each quarter showed that 503 students were satisfied with the text in the fall, 321 in the winter, and 267 in the spring, respectively. (a) If a student who took statistics during one of these three quarters is selected at random, what is the probability that the student is satisfied with the textbook? (b) If a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by Mean?

          At a large university, the Statistics Department has tried a different text during each of the last three quarters. During the fall quarter, 600 students used a book by Professor Median; during the winter quarter, 400 students used a book by Professor Mode; and during the spring quarter, 300 students used a book by Professor Mean. A survey at the end of each quarter showed that 503 students were satisfied with the text in the fall, 321 in the winter, and 267 in the spring, respectively.
(a) If a student who took statistics during one of these three quarters is selected at random, what is the probability that the student is satisfied with the textbook?
(b) If a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by Mean?

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At a large university, the Statistics Department has tried a different text during each of the last three quarters. During the fall quarter, 600 students used a book by Professor Median; during the winter quarter, 400 students used a book by Professor Mode; and during the spring quarter, 300 students used a book by Professor Mean. A survey at the end of each quarter showed that 503 students were satisfied with the text in the fall, 321 in the winter, and 267 in the spring, respectively.
(a) If a student who took statistics during one of these three quarters is selected at random, what is the probability that the student is satisfied with the textbook?
(b) If a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by Mean?

Added by Audrey B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Victoria Wambua

08/13/2020

Step 1

Step 1: The total number of students who took statistics during the three quarters is 600 + 400 + 300 = 1300. Show more…

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At a large university, the Statistics Department has tried a different text during each of the last three quarters. During the fall quarter, 600 students used a book by Professor Mean; during the winter quarter, 400 students used a book by Professor Median; and during the spring quarter, 300 students used a book by Professor Mode. A survey at the end of each quarter showed that 503 students were satisfied with the text in the fall, 321 in the winter, and 267 in the spring, respectively. (a) If a student who took statistics during one of these three quarters is selected at random, what is the probability that the student is satisfied with the textbook? (b) If a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by Mean?

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Transcript

00:01 All right, so we are going to do this problem without having to use base theorem or even using a tree diagram.

00:08 We just use a visual and then we have all the information.

00:11 We put it together and you get our answer.

00:14 So your visuals are very important in mathematics.

00:16 So let's begin with our table of seasons text.

00:23 Okay.

00:24 Then you are told in the fall they used means professor means textbook.

00:29 In the winter they used medians textbook and in the spring in the spring they used professor molt textbook okay and then we also told about satisfaction we are told that out of the 500 students who used means textbook only 200 were satisfied meaning that 300 were and satisfied.

01:08 And then out of the 300 who used professor median's book, 150 was satisfied, meaning that 150 were not satisfied.

01:17 And 200 used professor maud's book, 160 was satisfied, meaning that the remaining 40 were not satisfied.

01:24 Now these numbers are very important.

01:27 So 200 simply tells you that these are the students who used professor means book and they were satisfied.

01:39 And this number here tells you that 150 students used medians ' book and they were satisfied.

01:51 And finally, this number tells you that these are the students who used professor maud's book and they were satisfied.

02:01 Okay, they were satisfied...

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