MATH 2233 Lecture Notes - Lecture 18: Probability Distribution, Random Variable, European Route E6

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Variable possible values real the on from a continuous interval of line continues continuous using random variable probability model for. X formula to calculate probate . areas under a curve. Step 3 : curve fit probability density function frequency scale and smaller ( like class density histogram ) width. Example: let x be the random variable representing the waiting time (in min) in a o ce for a randomly selected patient. Suppose that x is a continuous random variable with pdf given below. ffn ) "s: find the probability that a randomly selected patient (i) waits more than 6 minutes. P i x ) 6) = a4 = " it (ii) waits at least 4 minutes. 46 = 42 t (iii) waits between 4 and 6 minutes. 4ex e 6) (iv) waits exactly 3 minutes. = o (b) find the average or expected waiting time. Bell-shaped distribution valid model for many observable populations . measurements of quantities.

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