Hi there! I'm struggling a lot on this statistics question regarding elevator capacity and safety, as well as probability of overload. Any help is very appreciated!

ew History Bookmarks People Tab Window Help (1)) . Do Homework - Section 6.4 mathxl.com/Student/PlayerHomework.aspx?homeworkld=592758166&questionld=6&flushed=false&cld=6348050¢erwin=yes HCC Statistics 142 SPR21 Emma Pouliot & | 04/09/21 2:45 PM Homework: Section 6.4 Save Score: 0.5 of 1 pt 6 of 14 (14 complete) HW Score: 80.12%, 11.22 of 14 pts 6.4.9 Question Help An elevator has a placard stating that the maximum capacity is 2064 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064 / 12=172 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 30 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)