Statistical distribution

Question 1

variable definition

Answer 1

something that can change

Question 2

random variable definition

Answer 2

value of a variable is the outcome of an experiment

Question 3

how random variables are represented

Answer 3

capital letter e.g. x

X, Y, A, B

Question 4

sample space

Answer 4

all possible outcomes of an experiment

Question 5

how particular value is represented

Answer 5

lowercase letter

Question 6

how probability that random variable is equal to a particular value is represented

Answer 6

P(X = x)

p(x)

Question 7

probability distribution

Answer 7

need set of possible values and respective probabilities to specify DRV completely
probability distribution describes probability of any outcome
can use function - probability (mass) function

Question 8

discrete uniform distribution

Answer 8

when all possible outcomes of DRV have the same probabilities as each other

Question 9

criteria for binomial distribution

Answer 9

fixed number of trials
two outcomes only
probability of success is constant (independent trials)

Question 10

binomial distribution

Answer 10

B(n, p)
binomial distribution
n = number of trials
p = probability of success

Question 11

formula of P(X = x) in binomial distribution

Answer 11

P(X = x) = nCr (p)^x (1-p)^n-x