Stats

Question 1

Bernoulli random variable - mean

Answer 1

E(X)=p

Question 2

Bernoulli random variable - variance

Answer 2

Var(X)=p(1-p)

Question 3

Binomial distribution - mean

Answer 3

=np

Question 4

Binomial distribution - variance

Answer 4

=npq

Question 5

Binomial distribution - standard deviation

Answer 5

=√npq

Question 6

Sample proportions - p̂

Answer 6

p̂=X/n

Question 7

Sample proportions - mean

Answer 7

E(p̂)=p

Question 8

Sample proportions - variance

Answer 8

Var(p̂)= pq/n

Question 9

Sample proportions - standard deviation

Answer 9

√npq / n

Question 10

PDF

Answer 10

∫ f(x) dx = 1 from -∞ to ∞

Question 11

PDF - mean

Answer 11

∫ x f(x) dx = 1 from a to b

Question 12

PDF median

Answer 12

∫ f(x) dx = 0.5

Question 13

PDF - variance

Answer 13

∫ x˄2 f(x) dx - 2μ