Answer please using given formulas

Z = Z = x- H "Total = Vno Otis Elevators conducted a study and determined the mean weight for American adults is 180 1b with a standard deviation of 30 1b. The distribution is approximately normally distributed. (a) What is the probability of a randomly selected adult weighing more than 225 pounds? [3] ANSWER (4 decimal places): A random sample of 16 American adults is taken. (b) What is the mean and standard deviation of the sample means? [3 marks] Mean: Standard Deviation: Otis Elevators is installing an elevator in a large office building that will have a capacity of 16 people and a maximum load of 3,600 pounds. (c) If there are 16 people in the elevator, that maximum load will be exceeded if the mean weight of the 16 people is above what weight? [1 mark] ANSWER: (d) What is the probability that load will be exceeded if there are 16 people in the elevator? [S]