members in your family, as a population and their weight as a random number. First measure their weights, after that find the average weight and standard
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!
(b) Consider, the number of family members in your family, as a population and their
weight as a random number. First measure their weights, after that find the average
weight and standard deviation from your collected data. Assume the distribution of
weights to be normal, find the number of family member with weight
i. Less than and equal to 50
ii. Between 52 to 67
iii. Greater than and equal to 70
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