226 Using Lists & Spreadsheet
This distribution is useful in determining the probability that two
samples have the same variance. Ü Pdf The draw option is available when
Ü
Pdf is invoked from a formula cell.
Û Cdf
Ü Cdf( computes the Ü distribution probability between lowerbound and
upperbound for the specified numerator df (degrees of freedom) and
denominator df. numerator df and denominator df must be integers > 0.
This distribution is useful in determining the probability that a single
observation falls within the range between
lowerbound and upperbound.
Binomial Pdf (binomPdf())
Binomial Pdf computes a probability at x for the discrete binomial
distribution with the specified
numtrials and probability of success (p) on
each trial. x can be an integer or a list of integers. 0p1 must be true.
numtrials must be an integer > 0. If you do not specify x, a list of
probabilities from 0 to
numtrials is returned. The probability density
function (
pdf) is:
where
n = numtrials
This distribution is useful in determining the probability of success in a
success/failure trial, at trial n. For example, you could use this distribution
to predict the probability of getting heads in a coin toss on the 5th toss.
Binomial Cdf (binomCdf())
Binomial Cdf computes a cumulative probability at x for the discrete
binomial distribution with the specified numtrials and probability of
success (p) on each trial. x can be a real number or a list of real numbers.
0
p1 must be true. numtrials must be an integer > 0. If you do not
specify x, a list of cumulative probabilities is returned.
where
n = numerator degrees of freedom
d = denominator degrees of freedom
x()
Γ nd+()/2[]
Γ n/2()Γd/2()
----------------------------------
n
d
---
⎝⎠
⎛⎞
n/2
x
n/2 1–
1 nx/d+()
nd+()/2–
x 0≥,=
x()
n
x
⎝⎠
⎛⎞
p
x
1 p–()
nx–
x, 0,1,...,n==