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,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)