After reading fantastic beasts and where to find them, your professor discovers that unicorns are equally likely to have 0, 1, 2, or 3 offspring. unfortunately, only one unicorn is left. that is, let (zn)∞ n=0 be a branching process that describes the population of unicorns at time n. the offspring distribution is uniformly distributed on {0, 1, 2, 3}, and z0 = 1. (a) find the probability that the population of unicorns will go extinct by the second generation. (b) find the probability that the population of unicorns goes extinct.

You receive 15% of the profit from a car wash how much money do you receive from a profit of 300

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Jonathan puts $400 in a bank account. each year the account earns 6% simple interest. how much interest will be earned in 5 years?