Math 14 HW 6.4.11-T Using the Central Limit Theorem

Given that the water taxi was rated for a load limit of 3750 ​lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 ​passengers? If the water taxi is filled with 25 randomly selected​ passengers, what is the probability that their mean weight exceeds the value from part​ (a)? If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected​ passengers, what is the probability that their mean weight exceeds 187.5 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3750 ​lb? Is the new capacity of 20 passengers​ safe?