Question

year by gender. The table below represents the college degrees awarded in a recent year by gender. Bachelor's Master's Doctorate Men 514,167 242,414 27,352 Women 706,438 253,747 21,205 Choose a degree at random. Find the probabilities of the following. Express your answer as a fraction or decimal rounded to three decimal places. (a) What is the probability that the degree is a doctorate? P(doctorate) = 0.028 (b) What is the probability that the degree was a bachelor's degree or a degree awarded to a woman? P(bachelor's degree or awarded to woman) =

          year by gender.
The table below represents the college degrees awarded in a recent year by gender.

Bachelor's Master's Doctorate
Men 514,167 242,414 27,352
Women 706,438 253,747 21,205

Choose a degree at random. Find the probabilities of the following. Express your answer as a fraction or decimal rounded to three decimal places.

(a) What is the probability that the degree is a doctorate?
P(doctorate) = 0.028

(b) What is the probability that the degree was a bachelor's degree or a degree awarded to a woman?
P(bachelor's degree or awarded to woman) =

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$year by gender. The table below represents the college degrees awarded in a recent year by gender. Bachelor's Master's Doctorate Men 514,167 242,414 27,352 Women 706,438 253,747 21,205 Choose a degree at random. Find the probabilities of the following. Express your answer as a fraction or decimal rounded to three decimal places. (a) What is the probability that the degree is a doctorate? P(doctorate) = 0.028 (b) What is the probability that the degree was a bachelor's degree or a degree awarded to a woman? P(bachelor's degree or awarded to woman) =$

Added by Joel W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 10th Edition

Chapter 4

Instant Answer

Solved by Expert Joanna Quigley

05/13/2025

Step 1

- Bachelor's: 514,167 (Men) + 706,438 (Women) = 1,220,605 - Master's: 242,414 (Men) + 253,747 (Women) = 496,161 - Doctorate: 27,352 (Men) + 21,205 (Women) = 48,557 - Total degrees = 1,220,605 + 496,161 + 48,557 = 1,765,323 Show more…

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Transcript

00:01 We have a two -way table here, and we're going to pick a degree at random.

00:05 So the first thing i'm interested in is how many degrees are there in total? so if i add up all of the frequencies in this table, i get 1 -7 -6, 5 -3 -2 -3.

00:20 So if i pick a degree completely at random, they are each equally likely to be chosen, one out of this number.

00:27 Okay, now let's look at part a.

00:30 A degree is a doctorate.

00:39 Now i can represent this as a fraction with all degrees on the bottom and the ones that meet our criteria on the numerator.

00:49 This works because if you have many many events all equally likely to happen, in this case picking a degree, then the proportion that meet your criteria is equal to the probability that you're randomly selected one meets that criteria.

01:02 So on the denominator we put our total.

01:06 On the how many doctorates are there? so there's 27 ,352 from men, 21 ,205 from women.

01:16 If i add those up, see what i get.

01:21 27352 plus 2 .21255, divide by our total.

01:29 That is 0 .275 to 4 decimal places.

01:33 3.

01:34 Okay, so yeah, 0 .0 .28.

01:38 Part v.

01:40 Probability, it was a bachelor's degree or a degree awarded to a woman.

01:51 Okay, it could be either.

01:53 This is the union...

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