The tasks are:

2. Let A denote the event that the midtown temperature in Lugano is 25C, and let B denote the event that the midtown temperature in Milan is 25C. Also, let C denote the event that the maximum of the midtown temperatures in Milan and in Lugano is 25C. If P(A) = .3, P(B) = .4, and P(C) = .2, nd the probability that the minimum of the two midtown temperatures is 25C.

3. Last summer I asked my neighbor to water a sickly plant while I was on vacation. Without water, it will die with probability .7; with water, it will die with probability .15. I was 89 percent certain that my neighbor will remember to water the plant. (a) What is the probability that the plant was alive when I returned? (b) If found the plant dead when I returned, what was the probability that my neighbor forgot to water it?

4. In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In addition, 30 percent of the families own a cat.What is:

a) the probability that a randomly selected family owns both a dog and a cat?

b) the conditional probability that a randomly selected family owns a dog given that it owns a cat?