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MA2212 - HW04

# MA2212 - HW04 - Department of Mathematics Name Poly ID...

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Department of Mathematics Name: ________________________________ Poly ID: _______________________________ Instructor’s Name:_______________________ Course No:_____________________________ Course Section: _________________________ Homework Section No:___________________

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Willis Thai MA2212 HW04 2.4-1 An urn contains 7 red and 11 white balls. Draw one ball at random from the urn. Let X = 1 if a red ball is drawn, and let X = 0 if a white ball is drawn. Give the pmf, mean, and variance of X. pmf: ݂ሺͲሻ ൌ ଵଵ ଵ଼ , ݂ሺͳሻ ൌ ଵ଼ mean: ܧሺܺሻ ൌ ሺͳሻቀ ଵ଼ ቁ ൅ ሺͲሻቀ ଵଵ ଵ଼ ቁ ൌ ଵ଼ variance: ߪ ൌ ܧሺሺܺ െ ߤሻ ሻ ൌ σ ሺݔ െ ߤሻ ௫ୀ଴ǡଵ ݂ሺݔሻ ൌ ቀͳ െ ଵ଼ ଵ଼ ቁ ൅ ቀͲ െ ଵ଼ ଵଵ ଵ଼ ቁ ൌ ଻଻ ଷଶସ 2.4-3 On a six question multiple-choice test there are five possible answers for each question, of which one is correct (C) and four are incorrect (I). If a student guesses randomly and
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MA2212 - HW04 - Department of Mathematics Name Poly ID...

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