In analyzing hits by certain bombs in a​ war, an area was partitioned into 572 ​regions, each with an area of 0.85km2. A total of 505 bombs hit the combined area of 572 regions. Assume that we want to find the probability that a randomly selected region had exactly hits. In applying the Poisson probability distribution​ formula, ​P(x) = ​, identify the values of ​, ​x, and . ​Also, briefly describe what each of those symbols represents.

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.