statistical distributions (not binomial) year 1

what type of letters are used for random variables (the whole distribution of outcomes)?

capital letters (usually X or Y)

what are lower case letters used for?

a particular value of the random variable (like x or y)

what is a discrete uniform distribution?

where the probabilities for everything is all equal (e.g rolling a dice)

as usual, what do the sum of all probabilities add to?

1

what are 2 ways u can map outcomes of probabilities (other than graphically)

as a function

or

as a table

on a probability graph, what is on the x axis, and what is on the y axis

x axis = the outcomes (e.g 1,2,3,4,5,6 on a dice)

y axis = probability of that outcome (e.g for a dice would be 1/6)

how can the below thing be written as well sometimes

P(X = x)

p(x)

(both lower capitals)

do this but only for the function as am weak

when given a probability function, what is it good practice to do?

turn it into a probability table

if there is an inequality for the probability

e.g P(2X+1>6)

what do u do?

rearrange and solve for x, so that it would become:

P(X>2.5)

do this question, but dont do the one which is crossed out

do this question

when i did this i got what bicen got, but i think he might have done a wrong, as he didnt consider more than 2 spins. not sure

what is the independent formula (in words, no notation)