EDEXCEL A LVL Maths - Normal dsitribution

what is the set notation for the normal distribution, and what do the terms in the brackets mean

X ~ N (mew, sigma²)

where:

• mew = the mean

• sigma = the standard deviation

does the equal to part in an inequality matter in the N.D

no

in the N.D, can X acc be equal to a variable

no. its continuous data

for the inverse normal, what must the inequality be for it to come out correctly? show in an example

less than (or equal to)

P(X < b) = 0.95

• this example above can be used in the normal to find out b

what is the set notation for the standard normal

Z ~ N(0,1²)

what is the formula to turn a regular N.D into the Standard Normal

what are the steps involved when dealing with a standard normal question

what must u do if u dont know both the mean and S.D

what 2 conditions must be met to approximate a binomial distribution using the N.D

• n (sample size) must be large

• p (probability of success) must be close to 0.5

How can u find the mean / mew from the binomial distribution (whats the equation)

How can u find the standard deviation / sigma from the binomial distribution (whats the equation)

what must be done to the binomial cumulative probabilities when dealing with the normal

must do: continuity corrections
(kavs box /line method)

when finding the sample mean of a N.D, with sample size n, what will the new set notation for the X (bar) be?

what do the following mean?

X

X (bar)

x (lowercase and bar)

what symbol represents significance level?

alpha

for 2 tailed test, do u test only 1 part of the tail or both tails

only 1 part of the tail, based on the fact that:

if x(lower and bar) is greater than the set notation mean —> only test upper tail

if x(lower and bar) is lower than the set notation mean —> only test lower tail

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