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quiz4solns

# quiz4solns - STA 4321/5325 — Spring 2010 Quiz 4 —...

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Unformatted text preview: STA 4321/5325 — Spring 2010 Quiz 4 — February 19 Name: y There are ﬁve problems in this quiz. Each problem has exactly one correct answer. Problem 1 A Bernoulli experiment has (a) 1 outcome (b) 2 outcomes; ‘ (c) 3 outcomes ((1) 4 outcomes Problem 2 If X is a binomial random variable with parameters n and p (i.e., X is the number of successes in n repetitions (independent) of a Bernoulli trial with success probability p), then (a) E(X)=n (b) E(X)=p (C) E(X)=5 Problem 3 Let X denote a random variable that has a binomial distribution with p = % and n23. Then (a) P(X=1):% i709%) 5 fAO'Hn—X X:o,4,,-/:§ (b) P(X=1)=§ " (c) P7X=1)=g\1 . 1 , ’4 TI (d) P(X= )=§ 170V" )5 ‘ i' 3) Problem 4 Let X be the number of failures before observing the ﬁrst success in successive repetitions (independent) of a Bernoulli trial. Then (a) X is a Bernoulli random variable. (b) X is a binomial random variable. (0) X — 1 is a geometric random variable. (d) X is a geometric random variable. y Problem 5 If X is a geometric random variable with parameter p (i.e., the probability of success of the associated Bernoulli trial is p), then (a) P(X=1)=1—p 190‘ 3A);)9,(,,F')x / x:o,-4,1/~.,, a (b) P(X=1)=p (dﬂXﬂbuiﬁb (d) P(X = 1) = (1 -p)p2 V<Xﬂl=rlvﬂ4 cr'U'W’) ...
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quiz4solns - STA 4321/5325 — Spring 2010 Quiz 4 —...

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