300 people attempt a difficult challenge, each person's attempt is indepen- dent, and they all have a 0.15 chance of success. Let X be the total number of successes in this group of 300 people. What is the distribution of X? Give parameters. Obtain the proba- bility of P(X90) to 5 significant digits using R or other statistical computing software (present value in scientific notation if it gets too small). b) Give an upper bound for P(X >90) using Markov's inequality. c) Give an upper bound for P(X > 90) using Chebychev's inequality. d) Give an approximation of P(X >90) based on the CLT. e) Do the results regarding P(X >90) from parts a to e contradict each other? Why or why not?