Thinking about shape Would you expect distributionsof these variables to be uniform, unimodal, or bimodal?Symmetric or skewed? Explain why.a) The number of speeding tickets each student in thesenior class of a college has ever had.b) Players’ scores (number of strokes) at the U.S. Opengolf tournament in a given year.c) Weights of female babies born in a particular hospitalover the course of a year.d) The length of the average hair on the heads of studentsin a large class.
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!
Thinking about shape Would you expect distributions
of these variables to be uniform, unimodal, or bimodal?
Symmetric or skewed? Explain why.
a) The number of speeding tickets each student in the
senior class of a college has ever had.
b) Players’ scores (number of strokes) at the U.S. Open
golf tournament in a given year.
c) Weights of female babies born in a particular hospital
over the course of a year.
d) The length of the average hair on the heads of students
in a large class.
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