x 0 1 2 3 4 5
P ( X = x ) 0.20 0.25 0.20 0.15 0.10 0.10
Find P ( X 3 )
11 . Accepted characters : numbers , decimal point markers ( period or comma ), sign indicators ( - ), spaces ( e . g ., as thousands separator , 5 000 ), " E " or " e " ( used in scientific notation ). NOTE : For scientific notation , a period MUST be used as the decimal point marker .
Complex numbers should be in the form ( a + bi ) where " a " and " b " need to have explicitly stated values .
For example : { 1 + 1i } is valid whereas { 1 + i } is not . { 0 + 9i } is valid whereas { 9i } is not .
If a gambler rolls two dice and gets a sum of four , he wins $ 10 ; and if he gets a sum of three , he wins $ 25 . The cost to play the game is $ 5 . What is the expectation of this game ?
Place your answer , rounded to two decimal places , in the blank . -2.88 When entering your answer do not use a dollar sign . However , if the expected payoff is negative be sure to use a minus sign . For example , -1.23 would be a legitimate entry
12 . Accepted characters : numbers , decimal point markers ( period or comma ), sign indicators ( - ), spaces ( e . g ., as thousands separator , 5 000 ), " E " or " e " ( used in scientific notation ). NOTE : For scientific notation , a period MUST be used as the decimal point marker .