The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width 0.32 of 0.20. Does the frequency distribution appear to be roughly a normal distribution? 0.22 0.53 0.16 1.25 0.15 0.02 0.21 0.16 0.56 0.02 0.21 0.19 0.21 Daily Rainfall (in inches) Daily Rainfall (in inches) Frequency Frequency 0.00-0.19 0.80-0.99 0.20-0.39 1.00-1.19 0.40-0.59 1.20-1.39 0.60-0.79 Does the frequency distribution appear to be roughly a normal distribution? O A. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is not symmetric. O B. No, the distribution is not symmetric and the frequencies do not start off low. O C. Yes, all of the requirements are met. O D. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.
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!
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