Is the random variable given in the accompanying table discrete or continuous? Explain. Number ofGirls, x P(x) 0 0.063 1 0.250 2 0.375 3 0.250 4 0.063 The random variable given in the accompanying table is ▼ continuous or discrete because ▼ there are infinitely many values, and they are not countable. the probabilities do not add up to 1. at least one probability is less than 0 or greater than 1. the probabilities add up to 1. the probabilities are decimal values. there are infinitely many values comma and they are countable. the probabilities are all between 0 and 1 comma inclusive.. the x dash values are numbers. there are a finite number of values.
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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Is the random variable given in the accompanying table discrete
or continuous? Explain.
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Number ofGirls, x
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P(x)
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0
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0.063
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1
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0.250
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2
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0.375
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3
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0.250
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4
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0.063
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