Edexcel A-level Mathematics 'Statistics 2 (S2)' Revision

Contains a list of all the formulae you need for the exam, as well as further notes and tips on the Edexcel specification of Statistics 2 (S2).

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Statistics 2
Formulae
The Binomial, Poisson, ~(, )
Normal and Uniform ( = ) = (
) () (1 - )-
Distributions
() =
() = (1 - )
~()
( = ) = -
!
() =
() =
~(, 2 ) ~(0, 12 )
( = ) = 0
() =
() = 2
( ) ( < + 0.5)
( < ) ( < - 0.5)
( ) ( > - 0.5)
( > ) ( > + 0.5)
~[, ]
( = ) = 0
+
() =
2
(-)2
() = 12
1
() = -, < < ; () = 0,
-
() = , ; () = 0, < ; () = 1, >
-

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Continuous Random -
() = 1
Variables
() = -
()
() = ( 2 ) - ()2 = -
2 () - 2
() = ( ) = -
()
Hypothesis Testing (1 2 ) = ( 2 ) - ( 1 - 1)
( 1 )
( 2 ) ( 2 - 1) 1 -
( ) = ( 1 | 0 ) + ( 2 | 0 )…read more

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Notes Tips
Sampling Population - A population is a collection of Know to identify:
individual members or items Sampling units (e.g. the patients)
Finite population - A finite population is a Sampling frames (e.g. a list of all patients
population which each individual member can be registered with the practice)
assigned a number Sampling distributions (e.g.…read more

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The Binomial, Poisson, ~(, ) Know to use the Binomial Cumulative Distribution
Normal and Uniform ( = ) = ( ) () (1 - )- Function table to find ( )
Distributions The conditions for a binomial distribution are:
() =
() = (1 - ) Trials are independent
Fixed number of trials
Each trial is either success or failure
Probability of success or failure is constant
~() Know to use the Poisson Cumulative Distribution
Function table to find ( )
( = ) =…read more

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The conditions for approximating a binomial
distribution by a normal distribution are:
is large (i.e. > 50)
is close to half (i.e. 0.5) because the
binomial distribution is symmetrical
The conditions for approximating a Poisson
distribution by a normal distribution are:
is large (i.e.…read more

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Critical region ­ A critical region is a range of values
of a test statistic where the test is significant; that
would lead to the rejection of the null hypothesis
and acceptance of the alternative hypothesis; in a
hypothesis test
(1 2 ) = ( 2 ) - ( 1 - 1) To do a one-tailed test of of a binomial distribution:
( 1 ) State the null hypothesis (e.g. 0 : = 0.…read more

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State the conclusion by rejecting the null
hypothesis if less than 1 or greater than 2
(e.g. 1 < 2 < 10 so = 2 is not in the
critical region so accept 0 ; there is
insufficient evidence to suggest of an
increase in the mean level of satisfaction;
Andrew's claim is not justified)
To do a one-tailed test of of a Poisson distribution:
State the null hypothesis (e.g. 0 : = 0.1)
and the alternative hypothesis (e.g. 1 : >
0.1).…read more

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Andrew's claim is not justified)…read more

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