A prize of $100, $200, $400, or $800 will be randomly awarded to game show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $400 $800
Probability 0.4
0.2
0.2
0.2
A. $340
B. $320
C. $375
D. $380

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.