8. An experiment consists of rolling a die labelled 3 to 8 and picking a card at
random from a standard deck of
playing cards.
a) What is the probability of each
event?
i) rolling a 6 and picking a spade
ii) not rolling a 4 and picking an ace
b) Use a tree diagram to verify your
answer to part a, i.
c) What is the probability of picking
the ace of spades and rolling a 5?
What is the advantage of using the
rule instead of a tree diagram?

Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. the buildings have flat roofs. you charge according to the total roof area. what is this area, in square yards?

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Random variables x poisson~ ( a) ,y poisson ~ ( a) . x and y are independent. if 2 1, 2 1. u =2x+ y-1, v=2x- y +1. find: ) cov (u ,v ).