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Let X denote the number of hours you stu...

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant.: `P(X=x)={(0.1,,if,,x=0),(kx,,if,,x=1or2),(k(5-x),,if,,x3or4),(0,,,,otherwise):}` Find the value of k.

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