1. A recreation park is planned near Brecksville, OH. The stream channel passing the park is designed for 20-yearreturn period of flood. Calculate the following probabilities up to 4 decimal

places for accuracy.[3*6=18] (1) Probability that the park will flood in any year. (2) Probability that the park will flood exactly 5 times during next 100 years. The binomial equation must be used for this problem. (3) Probability that the park will flood exactly 2 times during next 10 years (use equation or software). (4) Probability (reliability) that the park will not flood during next 100 years (use equation or software). (5) Probability that the park will flood at least 5 times during next 50 years (use equation or software). (6) Probability that the park will flood no more than 5 times during next 50 years (use equation or software).