Determine the 1st and 3rd quartiles for the given data below: 91 62 54 72 66 84 38 76 70 84 59 82 78 74 96 44 79 76 85 66
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!
A random variable X has a
i) Find the constant k which P(x) is a probability function.
ii) Find the E(X)
iii) Find Var (X)
Determine the 1st and 3rd
91 62 54 72 66 84 38 76 70 84 59 82 78
74 96 44 79 76 85 66
Note : Re-submit part 1 of the question with probability mass function of X. Since part 1 is incomplete we are providing the solution of second part. Thank you.
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