Explain the answers in sufficient details i.e show the work
Show transcribed image text 26. A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium- quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. a. Draw a probability tree to determine the probabilities of survival under all possible circumstances. b. What is the probability of survival of the seed, assuming that it lands? c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival? 27.A flycatcher is trying to catch passing bugs. The probability that it catches a bug on any given try is 20% a.What is the probability that it catches its first bug on its fourth try? b.What is the probability that it catches its first bug after at least four failures, assuming that it keeps trying until it is Successful?
26. A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium- quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. a. Draw a probability tree to determine the probabilities of survival under all possible circumstances. b. What is the probability of survival of the seed, assuming that it lands? c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival? 27.A flycatcher is trying to catch passing bugs. The probability that it catches a bug on any given try is 20% a.What is the probability that it catches its first bug on its fourth try? b.What is the probability that it catches its first bug after at least four failures, assuming that it keeps trying until it is Successful?





