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STAB52H3 (13)
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Quiz

# quiz_8.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 8 Version 4 Family Given Student No. Understanding. Here’s an example of what to expect on a term test or ▯nal: State and brie y interpret Chebychev’s inequality. Proof.Here’s your quiz question: a b If Y = a + bX, where a and b are constants, then show tYat r (t) X t r (t ). Problem Solving Theoretical. Here’s an example of what to expect on a term test or ▯nal: Suppose that X is uniformly distributed on1fxP;x ;::n;x g. What Ps the largest proportion of the ialues x that can lie outside▯ ▯ 2s ;▯ + 2s )? Where ▯ = 1 n x and s = 1 n (x ▯ ▯) . X X n i=1 i X n i=1 i Problem Solving Applied. Here’s an example of what to expect on a term test or ▯nal: Suppose a gambler starts with one dollar and plays a game in which he or she wins one dollar with probability p and loses one dollar with probability 1 ▯ p. Let f be the probability that he or she ▯rst becomes broke at time n n for n = 0;1;2;::: Find a generating function for these probabilities. 1 UTSC Department of Computer and Mathematical Sciences STA B52 Quiz 8 Version 3 Family Given Student No. Understanding. Here’s an example of what to expect on a term test or ▯nal: State and brie y interpret Chebychev’s inequality. Proof.Here’s your quiz question: If Y = a + bX, where a and b are constants, then show that m (t) = e m (bt). Y X Problem Solving Theoretical. Here’s an example of what to expect on a term test or ▯nal: Suppose that X is uniformly distributed on1fx2;x ;::n;x g. What is the largest proportion of the ialues x that 1 P n 1 P n 2 can lie outside▯ ▯ 2X ;▯ + 2X )? Where ▯ = n i=1xiand sX = n i=1(xi▯ ▯) . Problem Solving Applied. Here’s an example of what to expect on a term test or ▯nal: Suppose a gambler starts with one dollar and plays a game in which he or she wins one dollar with probability p and loses one dollar with probability 1 ▯ p.nLet f be the probability that he or she ▯rst becomes broke at time n for n = 0;1;2
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