Suppose that the height of 29 MayisUniversity female students has normal distribution with mean 168cm and standard deviation 18 cm. Find the height below which is the shortest 30% of the female students. Find the height above which is the tallest 5% of the female students.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
- Suppose that the height of 29 MayisUniversity female students has
normal distribution with mean 168cm and standard deviation 18 cm.- Find the height below which is the shortest 30% of the female students.
- Find the height above which is the tallest 5% of the female students.
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