Since the length of a downhill ski is related to the height of the individuals renting them, it is fair to assume that a normal distribution would describe the length of women’s skis at rental outlets in Colorado. The mean of the distribution is 150 cm and the standard deviation is 10 cm.
a) What is the proportion of women’s ski lengths that are less than 130 cm?
b) Very long skies are expensive and there are not many people who rent them. What is the longest women’s ski a rental shop should carry so that only 2 percent of the costumers will ask to rent a longer ski?
I don't need help solving, but I need help on knowing whether the probability should be taken from a population or a sample and if central limit theorem is applicable or not.
I personally think that the probability should be taken from a population since there is no sample size given. Also, I think that central limit theorem is not applicable because even though the population is assumed to be normally distributed, there is once again, no sample size to evaluate.
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