COMM 215 Chapter Notes - Chapter 5: Random Variable, Normal Distribution, Standard Deviation

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The values of a continuous variable correspond to 1 or more intervals on the real number line. We usually calculate probabilities about the range or values that a continuous random variable x might attain. So, we assign probability to intervals of values using continuous probability. The curve f(x) is the continuous probability distribution of the random variable x is the probability that x will be in a specified interval of numbers is the area under the curve f(x) corresponding to that interval. We sometimes refer to a continuous probability distribution as a probability curve or a probability density function. The shaded area is the probability that x will be between a & b, that is: Shaded area = p(cid:523)a (cid:948) x (cid:948) b(cid:524) F(x) is a continuous function of the numbers on the real line. An area under the continuous probability distribution (probability curve) is a.

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