Math 146 Quiz #3 questions and answers

empirical probability

P(e)= frequency of E/ # of trials of experiment

Classical probability

P(E)= #of ways E can occur/ # of possible outcomes= N(E)/N(S)

Addition rule for disjoint events

P(E or F)= P(E)+P(F)

General Addition Rule

P(A or B) = P(A) + P(B) - P(A and B)

Complement Rule

P(A^c) = 1 - P(A)

Multiplication rule for independent events

P(A and B) = P(A)*P(B)

Conditional probability rule

P(A|B) = P(A and B) / P(B)

General Multiplication Rule

P(A and B) = P(A) * P(B|A)

Permutation Formula

nPr = n!/(n-r)!

Combination Formula

nCr = n!/r!(n-r)!

Mean of a Discrete Random Variable

µx=∑(x*P(x))

Standard deviation of a discrete random variable

σx=√∑(xi-μx)²*(px))

Binomial Probability Formula

P(x)= (nCx) (p^x) (q^n-x)

mean of a binomial distribution

μx = n * P

standard deviation of a binomial distribution

σ = √np(1-p)

What does the random variable represent for the binomial distribution?

Number of Successes out of "n" trials.