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RSMT 1501
MID-TERM FORMULA SHEET
x=
µ=
n
∑ xi
i =1
n
N
∑ xi
i =1
N
n
,
s =
(x − x )
∑
i =1
σ2 =
(x − µ)
∑
i =1
2
n −1
N
,
n
i
coefficent of variation: c.v=.
,
s
=
i =1
( xi − x ) 2
n −1
N
2
i
N
s
=
2
∑
,
=
σ
=
σ2
(x − µ)
∑
i =1
2
i
N
s
×100(%)
x
Probability Rules:
P ( A or B ) = P ( A ) + P ( B ) − P ( A and B )
P ( A and B ) = P ( A ) P ( B ) if A and B are independent
P ( B | A) =
P ( A and B )
P ( A)
Normal Distribution:
z=
x−µ
σ
x = σ ×Z + µ
Empirical Rule:
1.
2.
3.
Approximately 68% of all observations fall within one standard deviation of the mean.
Approximately 95% of all observations fall within two standard deviations of the mean.
Approximately 99.7% of all observations fall within three standard deviations of the mean.
Binomial Distribution
This table shows the probability of x successes in n independent trials, each with probability of success p.
Binomial Distribution (continued)
This table shows the probability of x successes in n independent trials, each with probability of success p.
Standard Normal distribution
Standard Normal distribution (continued)