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PSAT 1.37 Math Diagnostic. Which of the following forms of the function f(x) would best reveal the number of employees that should be hired to maxi...
PSAT 1.5 Math Diagnostic 205 Views
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PSAT 1.5 Math Diagnostic. What is the probability that a woman over the age of 25 with a Bachelor's Degree earned her degree in either the field of Arts and Humanities or Education?
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- 00:00
Thank you We sneak And here's your shmoop du jour
- 00:05
brought to you by bachelor's degrees Sadly they don't always
- 00:09
come with a rose Check out the stable on no
- 00:17
people have seen it according to the table What is
- 00:19
the probability that a woman over the age of twenty
Full Transcript
- 00:21
five with a bachelor's degree earned her degree in either
- 00:25
the field of arts and humanities or in education and
- 00:29
here's a potential answers All right probability gotta lot numbers
- 00:33
here think about percentages and all that Wait a minute
- 00:36
Why aren't these women earning bachelor read degrees Is that
- 00:39
not a thing All right reality television has gotten us
- 00:42
totally turned around all right So we're given a table
- 00:45
showing the degrees earned by some surveyed men and women
- 00:48
and we're told that everyone surveyed is over twenty five
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so we don't even have to worry about that part
- 00:54
of the problem don't need to check anyone's ideas the
- 00:56
door questions asking us what the probability is that a
- 01:00
woman's degree is in the arts and humanities or education
- 01:04
as opposed to science and engineering business or the mysterious
- 01:07
other category when finding a probability we're looking for a
- 01:10
certain number out of the hole For example when we're
- 01:13
rolling and die we have a one in six chance
- 01:16
of rolling a five because there's only one five and
- 01:19
six sides of the dye Likewise in this scenario we're
- 01:22
going to need to figure out how many women fall
- 01:24
into two categories were interested in and then divide that
- 01:28
by the total number of women surveyed Unfortunately we're going
- 01:31
to be dealing with numbers that are a tad larger
- 01:34
than in our example it's as if we're working with
- 01:36
the four hundred twenty one thousand one hundred ninety one
- 01:39
sided die your heart out dungeons dragons All right first
- 01:44
up let's add together all the women who got their
- 01:46
degree in the arts and humanities and those who went
- 01:49
the education room So forty nine thousand fifty three plus
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two hundred three thousand six hundred eighty one equals two
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hundred fifty two thousand seven hundred forty four Now looking
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at the total row with the bottom we can see
- 02:00
that all together one hundred twenty one thousand one hundred
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ninety one women were surveyed so we take two hundred
- 02:05
two thousand seven hundred forty four Divide that by four
- 02:08
hundred twenty one thousand one hundred one and we get
- 02:11
almost exactly zero point six or sixty percent which is
- 02:15
option d and the survey says we totally nailed it
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