An elevator has a placard stating that the maximum capacity is 2565 lblong dash1

Question

An elevator has a placard stating that the maximum capacity is 2565 lblong dash15 passengers.? So, 15 adult male passengers can have a mean weight of up to 2565 divided by 15 equals 171 pounds. If the elevator is loaded with 15 adult male? passengers, find the probability that it is overloaded because they have a mean weight greater than 171 lb.? (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 31 lb?.) Does this elevator appear to be? safe?

Explanation / Answer

a)

here std error of mean =std deviaiton/sqrt(n)=31/sqrt(15)

hence  probability that it is overloaded =P(Xbar>171)

=P(Z>(171-176)/(31/sqrt(15))=P(Z>-0.62)=0.7324

b)

elevator appear to be? safe? -No as probabiliy of being overloaded is very high

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.