Nexample 5.4 and exercise 5.5, we considered the joint density of y1, the proportion of the capacity of the tank that is stocked at the beginning of the week, and y2, the proportion of the capacity sold during the week, given by f(y1,y2)= 3y1, 0≤y2≤y1≤1, 0, elsewhere. a find the marginal density function for y2. b for what values of y2 is the conditional density f ( y1 | y2 ) defined? c what is the probability that more than half a tank is sold given that three-fourths of a tank is stocked?

Is every rectangle is a parallelogram? true false

1yd 1 ft = 1 1/12 1 1/3 1 1/2 1 1/6

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.