The population of weights for men attending a local health club is normally distributed with a mean of 174-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6545-lbs. Assume that there are 35 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 decima
The population of weights for men attending a local health club is normally distributed with a mean of 174-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6545-lbs. Assume that there are 35 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 decima
The population of weights for men attending a local health club is normally distributed with a mean of 174-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6545-lbs. Assume that there are 35 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 decima
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 174-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6545-lbs.
Assume that there are 35 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 35 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.)
Is there reason for concern?
yes, the current overload limit is not adequate to insure the safey of the passengers
no, the current overload limit is adequate to insure the safety of the passengers
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
