POWERPOINT 2

Question 1

P(X|Y) = P(Y|X)P(X) / P(Y); rearranged relationship between the joint, marginal, and conditional distributions

Answer 1

Bayes Theorem

Question 2

random variables that don’t have a fixed number of outcomes; it isn’t possible to to list all possible values

Answer 2

continuous random variables

Question 3

the probability distribution using a function

Answer 3

probability density function

Question 4

defined by the area under the probability density function

Answer 4

probability of an interval

Question 5

most common probability distribution for continuous random variables; mean = 0 and variance = 1

Answer 5

standard Normal distribution

Z~N(μ, σ^2) –> Z is the random variable)

Question 6

The parameter determines how spread out the curve is

Answer 6

standard deviation (σ)

Question 7

(μ−2σ,μ+2σ) is ?; P(μ−2σ<μ+2σ)≈ ?; often used for simplicity

Answer 7

95% or .95

Question 8

the parameter that determines where the curve is; the center

Answer 8

mean (μ)

Question 9

Z = X − μ / σ

Answer 9

manually calculate probability of value under curve