Question

The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Nursing majors    Non-nursing majors Total Males 99 1013 1112 Females 700 1725 2425 Total 799 2738 3537 a) Find the probability that the student is male or a nursing major. b) Find the probability that the student is female or not a nursing major. c) Find the probability that the student is not female or a nursing major.

          The table below shows the number of male and female students
enrolled in nursing at a university for a certain semester. A
student is selected at random. 
Nursing majors   
Non-nursing majors
Total
Males
99
1013
1112
Females
700
1725
2425
Total
799
2738
3537
a) Find the probability that the student is male or a nursing
major.
b) Find the probability that the student is female or not a nursing
major.
c) Find the probability that the student is not female or a nursing
major.
        
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Added by Desiree T.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Nursing majors    Non-nursing majors Total Males 99 1013 1112 Females 700 1725 2425 Total 799 2738 3537 a) Find the probability that the student is male or a nursing major. b) Find the probability that the student is female or not a nursing major. c) Find the probability that the student is not female or a nursing major.
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The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. Nursing Majors Non-nursing majors Total Males 98 1102 1200 Females 748 1696 2444 Total 846 2798 3644 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is . (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. The probability is . (Round to three decimal places as needed.)

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the-table-below-shows-the-number-of-male-and-female-students-enrolled-in-nursing-at-a-particular-university-for-a-recent-semester-a-find-the-probability-that-a-randomly-selected-student-is-m-95341

The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. Nursing Majors Non-nursing majors Total Males 98 1102 1200 Females 748 1696 2444 Total 846 2798 3644 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is . (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. The probability is . (Round to three decimal places as needed.)

Madhur L.


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Transcript

-
00:01 Hey there, welcome to numerade.
00:03 We are given a table below here, summarizing the number of male and female students enrolled in a nursing program here.
00:13 So with this, we have to find the following probabilities.
00:18 We're asked to find a probability that a student is male or a nursing major.
00:25 Probability of male or nursing.
00:33 So what we have here is the probability of male is basically 11113, 11113, minus, i'm sorry, plus the probability of being a nursing major, so 798 minus the where they intersect, which is 98.
01:04 And this is going to be divided by the grand total here let me see here so what we have for the actual values are going to be 1 ,112 so a little bit off because i'm basing this off a different example but let me see here 1 ,112 plus the where they intersect which is 99 check that.
01:47 So we have 1 ,112.
01:52 We have the total here, which is 799 minus the 99, divided by the total, which is 3 ,537.
02:12 All right, so let's see what we get in total here.
02:21 So we have 1 ,112, 112, 1 ,112, plus.
02:27 Basically 700 divided by 3 ,537, 3 ,537, giving us a probability here of around 0 .5123.
02:48 All right, so for part b here, so we have to find a probability that a student is female or not a nursing major.
03:02 It's probably put it as female or not nursing.
03:12 So what we have for part b here is basically we're going to calculate the female first.
03:21 So for the female, we're going to look at a total for the females in which we have 2 ,425, 2 ,425, plus for those who are not being a nursing major.
03:42 So not nursing will be around 2 ,738 minus where they intersect in which we have 1 ,725.
04:11 And this is then going to be divided by what we have here, 3 ,5377...
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