Probability to be within 1, 2, 3 standard deviations of the mean
68, 95, 99.7
Integral of normal distribution from -infinity to 0
0.5
Previous
Play
Next
Rewind 10 seconds
Move forward 10 seconds
Unmute
0:00
/
0:15
Full screen
Brainpower
Read More
Integral of normal dis...
Download this
complete,fully
solved and
updated actual
exam for GRE
Math Subject
Probability to be within 1, 2, 3 standard
deviations of the mean - answer 68, 95, 99.7
Integral of normal distribution from -infinity to
0 - answer 0.5
Integral of normal distribution from -infinity to
0.5 - answer .69
,Integral of normal distribution from -infinity to
1 - answer .84
Integral of normal distribution from -infinity to
1.5 - answer .93
Integral of normal distribution from -infinity to
2 - answer .97
Integral of normal distribution from -infinity to
2.5 - answer .99
Integral of normal distribution from -infinity to
>3 - answer 1
Normal distribution form - answer 1/sigma \
sqrt{2\pi} e^{-(x-\mu)^2/2\sigma^2}
Definition of expectation value for continuous
random variable with density function f -
answer E(X) = \int_-\infty^\infty t f(t) dt
, Definition of variance for continuous random
variable with density function f (2 answers) -
answer \int_-\infty^\infty (t-\mu)^2 f(t)dt
E(X^2) - E(X)^2
Definition of standard deviation - answer
sqrt{variance} = sqrt{E(X^2)-E(X)^2}
P(A or B) - answer P(A) + P(B) - P(A and B)
Events A and B are independent - answer P(A
and B) = P(A) x P(B)
Events A and B are mutually exclusive -
answer P(A and B) = 0, equiv. P(A or B) =
P(A) + P(B)
sin(2x) - answer 2sin(x)cos(x)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller GUARANTEEDSUCCESS. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £11.76. You're not tied to anything after your purchase.