Which of the following are valid PDFs? Justify your answer. a. (f(x)=(.2)^{x}(.6)^{1-x} I_{{0,1}}(x)) b. (f(x)=(.3)(.7)^{x} I_{{0,1,2, ldots}}{x})

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Which of the following are valid PDFs? Justify your answer.

a. \(f(x)=(.2)^{x}(.6)^{1-x} I_{\{0,1\}}(x)\)

b. \(f(x)=(.3)(.7)^{x} I_{\{0,1,2, \ldots\}}\{x\}\)

c. \(f(x)=.6 e^{-x / 4} I_{(0, \infty)}(x)\)

d. \(f(x)=x^{-1} I_{[1, e]}(x)\)

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Cyrus Sandoval

I a web and systems developer with a vast array of knowledge in many different front end and back end languages, responsive frameworks, databases, and best code practices. My objective is simply to be the best web developer that i can be and to contribute to the technology industry all that i know and i can do. My skills include: - Front end languages: css, HTML, Javascript, XML - Frameworks: Angular, Jquery, Bootstrap, Jasmine, Mocha - Back End Languages: Java, Javascript, PHP,kotlin - Databases: MySQL, PostegreSQL, Mongo, Cassandra - Tools: Atom, Aptana, Eclipse, Android Studio, Notepad++, Netbeans. Having a degree in Computer Science enabled me to deeply learn most of the things regarding programming, and i believe that my understanding of problem solving and complex algorithms are also skills that have and will continue to contribute to my overall success as a developer. I’ve worked on countless freelance projects and have been involved with a handful of notable startups. Also while freelancing I was involved in doing other IT tasks requiring the use of computers from working with data, content creation and transcription.

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