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Quiz

# quiz_11.pdf

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School
University of Toronto Scarborough
Department
Statistics
Course
STAB52H3
Professor
Ted Petit
Semester
Summer

Description
UTSC Department of Computer and Mathematical Sciences STA B52 Quiz 11 Version 1 Family Given Student No. Understanding. Here’s an example of what to expect on a term test or ﬁnal: A roulette wheel has 18 red wedges, 18 black wedges and 2 green wedges. Wedges are equally likely to come up in one spin of the wheel. A gambler bets one dollar on red coming up in independent spins of the wheel. Brieﬂy explain why the gambler shouldn’t play for too long. Proof.Here’s your quiz question: Suppose that X ∼ uniform[0,1] and let n = n−1X. Prove that Y n→p X. n Problem Solving Theoretical. Here’s an example of what to expect on a term test or ﬁnal: Suppose that X1,X 2... are independent and uniform on (0,1). LetnM =min {X 1X 2...,X n}.idil n→∞ P(M >n x/n). Problem Solving Applied. Here’s an example of what to expect on a term test or ﬁnal: Suppose that you are trying to collect a complete set of n baseball cards. Suppose you buy them one at a time and each time you get a randomly chosen card. Let N be the number of cards you have to buy to get the complete p n set. Show Nn/(nlnn) −→ 1. 1 UTSC Department of Computer and Mathematical Sciences STA B52 Quiz 11 Version 2 Family Given Student No. Understanding. Here’s an example of what to expect on a term test or ﬁnal: A roulette wheel has 18 red wedges, 18 black wedges and 2 green wedges. Wedges are equally likely to come up in one spin of the wheel. A gambler bets one dollar on red coming up in independent spins of the wheel. Brieﬂy explain why the gambler shouldn’t play for too long. Proof. Here’s your quiz question: p p Prove that X n→ 0implies |X n −→ 0. Problem Solving Theoretical. Here’s an example of what to expect on a term test or ﬁnal: Suppose that X ,X ,... are independent and uniform on (0,1). Let M =min {X ,X ,...,X }.Fiil P(M > 1 2 n 1 2 n n→∞ n x/n). Problem Solving Applied. Here’s an example of what to expect on a term test or ﬁnal: Suppose that you are trying to collect a complete set of n baseball cards. Suppose you buy them one at a time and each time you get a rapdomly chosen card. Let N n be the number of cards you have to buy to get the complete set. Show N n(nlnn) −→ 1.
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