Answer the following problems by showing your steps clearly.

g all boys? 3. How many ways can you form committee of 7 consisting of 5 Americans and and 2 Russians out of 7 Americans and 4 Russians? 4. Two persons are selected at random out of 9 girls and 6 boys without replacement. If $2100 is offered for selecting two girls, what is the mathematical expectation? 5. How many ways can you fill the position of president, vice-president out of 8 girls and 4 boys if the president has to be a girl and the vice-president has to be a girl? ABCD 6. Given that Tom 15 10 8 7 , find(a) P(Harry | C), (b) P(C/Harry) Dick 8 5 10 15 Harry 12 5 7 3 ,(c) P(C), (d) P(CnHarry), and prove that (e) P(CnHarry)=P(C)P(Harry | C). 9 I got 20year mortgage on $ 260000 at 6% compounded monthly. Find the monthly payment. 10 sketch (a) y=5 (b) x=-3 1 1 select two points sketch after plotting these these points: y= 2x+4. 12 complete the table (a) y = x2 - 2x - 3 (b) using the table , sketch the graph 13 Given f(x) = x2 - 2x - 3, find A(-2), f(3) 14 (a) find the slope of the line passing thru (3, 5) and (4, 9) (b) find the equation the line passing thru (3,5) and (4,9)