Question

The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year: A student is selected at random. Find the probability of each event listed in parts (a) through (c) below: (a) The student is male or received a degree in the field (Type an integer or a decimal. Round to three decimal places as needed:) (b) The student is female or received degree outside of the field (Type an integer or a decimal. Round to three decimal places as needed ) (c) The student is not female or received a degree outside of the field (Type an integer or a decimal. Round to three decimal places as needed ) Table Degrees in Field Degrees Outside of Field Total Males 194,089 617,478 811,567 Females 156,862 831,172 988,034 Total 350,951 1,448,650 1,799,601

          The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year: A student is selected at random. Find the probability of each event listed in parts (a) through (c) below:
(a) The student is male or received a degree in the field
(Type an integer or a decimal. Round to three decimal places as needed:)
(b) The student is female or received degree outside of the field
(Type an integer or a decimal. Round to three decimal places as needed )
(c) The student is not female or received a degree outside of the field
(Type an integer or a decimal. Round to three decimal places as needed )

Table
            Degrees in Field   Degrees Outside of Field   Total
Males       194,089            617,478                    811,567
Females     156,862            831,172                    988,034
Total       350,951            1,448,650                  1,799,601

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Joanna Quigley

03/17/2023

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538 (b) The student is female or received a degree outside of the field: Show more…

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The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year: A student is selected at random. Find the probability of each event listed in parts (a) through (c) below: (a) The student is male or received a degree in the field (Type an integer or a decimal. Round to three decimal places as needed:) (b) The student is female or received degree outside of the field (Type an integer or a decimal. Round to three decimal places as needed ) (c) The student is not female or received a degree outside of the field (Type an integer or a decimal. Round to three decimal places as needed ) Table Degrees in Field Degrees Outside of Field Total Males 194,089 617,478 811,567 Females 156,862 831,172 988,034 Total 350,951 1,448,650 1,799,601

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Transcript

00:01 In this question, we have a table of data.

00:03 So we have male and female, and we have degrees outside a field, and degrees in field.

00:12 Okay.

00:13 So the information we have is 194 ,089, 617 ,478, which is a total of 811 -567, 151 -567, 156, 862, and 831, 172, for a total of 988 034.

00:44 There we go, and the totals are 3509 .151.

00:55 1448 650, 1799, 601.

01:00 Okay, big numbers, but it does not change how we perform our calculations.

01:05 So let's go ahead and start solving this question.

01:07 Part a.

01:11 We want the probability that the student is male or received a degree in the field.

01:19 Okay.

01:23 Yeah, i think these may need to be switched around.

01:26 There we go.

01:27 I think inside the field may come first.

01:31 There we go.

01:37 Okay.

01:38 So the important thing for this part is just to not double count the people who meet both criteria.

01:44 So you'll be fine if you make a fraction where you have the total number of people on the denominator and the ones that meet your criteria on the numerator, as long as we don't double count.

01:58 So out of all of the people, how many are male or got their degree in field or both? well, it could be these people or these people.

02:09 Really, anyone accepts the ones who've got their degree out of field and were female.

02:15 So i could just take the total number of people here, i'll call it n, and just subtract the only people who don't meet the criteria, and i'll have everybody who does.

02:25 So that saves me adding them up.

02:31 1799601 minus 831 -172...

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