Topics for Test 1

... c. Some basic logical identities that might help you: DeMorgan’s Laws i. P( (AB)’ ) = P( A’ B’ ) ii. P( (AB)’ ) = P( A’B’ ) d. Remember : P ( “at least one....” ) = 1 - P(“none”) P(“neither A nor B “ ) means P(A’ B’) e. Often probabilities are easiest to figure out if if you make a chart or ...

... c. Some basic logical identities that might help you: DeMorgan’s Laws i. P( (AB)’ ) = P( A’ B’ ) ii. P( (AB)’ ) = P( A’B’ ) d. Remember : P ( “at least one....” ) = 1 - P(“none”) P(“neither A nor B “ ) means P(A’ B’) e. Often probabilities are easiest to figure out if if you make a chart or ...

Applied Probability Lecture 2

... • Before this we talked about “Probabilities” of events and sets of events where in many cases we hand selected the set of fine grain events that made up an event whose probability we were seeking. p (x)Now we move onto another more interesting way to group this point: using a function to ascribe va ...

... • Before this we talked about “Probabilities” of events and sets of events where in many cases we hand selected the set of fine grain events that made up an event whose probability we were seeking. p (x)Now we move onto another more interesting way to group this point: using a function to ascribe va ...

Moments of a Random Variable, Moment Generating Function

... For a random variable X , the skewness of X is defined to be E [(X − µ)3 ]/σ 3 . If skewness is positive, we say the distribution is skewed to the right. If it is negative, we say the distribution is skewed to the left. ...

... For a random variable X , the skewness of X is defined to be E [(X − µ)3 ]/σ 3 . If skewness is positive, we say the distribution is skewed to the right. If it is negative, we say the distribution is skewed to the left. ...