Question

An elevator has a placard stating that the maximum capacity is 1780—10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1780 divided by 10 equals 178 pounds. 1780/10=178 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 178lb.​ (Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of29 lb.)

Does this elevator appear to be​ safe?

Answer 1

µ = 180

sd = 29

n = 10

                           

                            = P(Z > -0.22)

                            = 1 - P(Z < -0.22)

                            = 1 - 0.4129

                            = 0.5871

No this isn't safe because probability of overloaded is very high.