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MTH 220 May 18 Open Questions
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Guest
7:57
ok thank you!
cool 1
AvatarGreg Miller
7:57
11:00 - 2:30... starts same time as the quizzes
Guest
7:56
Hi, what time is the midterm starting if someone didnt already ask?
AvatarGreg Miller
7:31
not many trig functions.. but TONS of really odd combinations of polynomials, exponentials.. and even compound or what might be called "double-e" functions... "e to the e powers", etc..
7:30
probability is CHOCK full of polynomial/exponential combinations to create important functions...
7:29
It's actually one of the most famous functions in probability..
Ben
7:29
I didn't know it was the function e^(-x^2), I remember that one popping up in cal-3 a few times. I'm surprised it's actually useful for things other than tripping up calculus students
laughing 1
AvatarGreg Miller
7:18
LATE READERS:  END OF CALCULUS DISCUSSION.  LOL.
7:17
While we are geeking out on calculus.. I should say that one really odd thing about the normal curve is that it's density curve involves the function f(z) = e^(-x^2) and that function DOES NOT have a closed form antidertivative.  That is, ther is no function whose DERIVATIVE is f(z).. so standard Calculus 2 techniques could not be used to create the z table... all the integration requires numerical methods.. numerical approximations... not "standard" techniques of integration from Calculus 2.
7:14
improper.. I should say.. they integrate from minus infinity up to "z"
yes.. you are right.. the values on the z table are simply answers to definite integral problems.
7:13
But again.. the binomial mass function as it sits is just a set of ordered pairs.. "points".. that are discontinuous.. so there is "no area".. b/c there is "no curve".. just a bunch of discontinuous points... like what you'd see if you magnified the sampling distribution on Page 16.
Ben
7:13
Yes, it does. That's the logic ive been using for the density curve calculations, they're basically definite and improper integrals from a cursory glance
AvatarGreg Miller
7:09
Ben.. any of that make even remote sense from your calculus days??  LOL...
the result is a Riemann sum from Calculus II, and the limit of that Riemann sum corresponds with the area under a normal curve.
7:08
Then.. let the number of rectangles go infinity as the number of trials goes to infinity...
The height of each rectangle is what the binomial formula would give for the midpoint of the interval...
7:07
For instance.. the rectangle for Y=5 sits over [4.5, 5.5], etc..
7:06
Imagine a rectangle of width "1" sitting over each point on the horizontal axis that ends with 0.5... for instance.. 0.5, 1.5, 2.5, 3.5.... up to "n.5"...
Warning to others reading this:  CALCULUS ALERT!
7:05
That IS actually what is happening...let me explain
7:04
Ooohh. gosh.. if you had said that beforehand I probably would have given you credit.. LOL
Ben
7:04
Ahh, okay I see. I was thinking about it from the  introductory integration stuff from calculus with the rectangular segments that roughly resembled a "curve", bad logic
AvatarGreg Miller
7:01
Pages 22-23 of the CSM handle Question 7 on Quiz 5 well
7:00
Ben,  The issue is that mass functions don't have "curves", only density functions are represented in curves.. .so there is no such thing as "area under a mass function".. so in Question 7... there is no such thing as area under a binomial mass function.. .which rules out "C".
Ben
6:58
I had a question about one of the problems on the quiz today. On number 7, isn't the area under a mass curve and a density curve equal to 1? I assume this because the compliment rule works for both functions. I'm probably missing something fundamental here.
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