A sociologist randomly selects single adults for different groups ofthree, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is notgiven, identify the requirements that are not satisfied. x P(x) 0 0.093 1 0.342 2 0.401 3 0.164 Does the table show a probability distribution? Select all that apply.
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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A sociologist randomly selects single adults for different groups ofthree, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a
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x
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P(x)
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0
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0.093
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1
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0.342
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2
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0.401
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3
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0.164
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