Normal (Z), T and binomial distributions Flashcards
2 other names for normal distribution
Z distribution
Gaussian distribution
Describe
- shape
- symmetry
- implications for mean, median and mode
bell shaped
symmetrical about the mean
mean=median=mode
area under =
1
are they appropriate for continuous or discrete varibales?
continuous
what two statistics does it take into account?
pop mean
pop SD
Z score formula
(value - pop mean)/pop SD
what does Z score transform the normal dist into? in terms of mean and SD
implications
mean of 0
sd of 1
shows us how many sd’s the thing is away from the mean
does t dist have similar properties to normal dist
yes
2 differences in shape of t dist
bell is flatter
tails are longer
what additional factor does t distribution take into account
degrees of freedom
the more degrees of freedom/bigger the sample size
the more normal the normal dist becomes
describe binomial distribution
looks at two mutually exclusive events with known probabilities
looks at the probability of either event occuring X times