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University of Toronto Scarborough

Statistics

STAB52H3

Ted Petit

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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