Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 133.8-cm and a standard deviation of 0.6-cm. For shipment, 8 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 133.8-cm and 134.2-cm.
P(133.8-cm < M < 134.2-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem.
The population of weights for men attending a local health club is normally distributed with a mean of 184-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 34 occupants, but it will be overloaded if the total weight is in excess of 6698-lbs.
Assume that there are 34 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?
average weight = lbs
What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) =
(Report answer accurate to 4 decimal places.)
If we assume that 34 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded?
P(elevator overloaded) =
(Report answer accurate to 4 decimal places.)
If the evelator is full (on average) 5 times a day, how many times will the evelator be overloaded in one (non-leap) year?
number of times overloaded =
(Report answer rounded to the nearest whole number.)

Answer 1