(21 points) For each random variable described below, decide whether the appropr
ID: 3329001 • Letter: #
Question
(21 points) For each random variable described below, decide whether the appropriate statistical model is Binomial, Poisson, Bernoulli, or none of these. Give some reason for your decision. a. You take a test with 15 questions. Each is right or wrong. X is the number of b. X is the number of eggs laid by a lionfish (mean 30,000, BTW, and they can lay eggs c. You play the lottery once per week. X is the number of times you play until you win d. An urn contains 20 red balls and 30 white balls. You draw out 10 balls at random e. Xis the number of times you die each day. questions you answer correctly up to every four days : http://www.oceansupport.org/lionfish-information) a prize of at least $100. without replacement. X is the number of red balls in your sample. f. A poll is taken of 1000 random Americans. X is the number of people who thinlk Global warming is really happening. X is the number of flying-bomb hits in the south of London during one raid during World War I g.Explanation / Answer
a ) Binomial
Reason : X : number of questions answered correctly
Probability of a correct answer = 0.5
Thus X follows a binomial distribution with parameter n = 15 and p = 0.5
b ) Poisson
c ) None of these .
d ) None of these
Reason : X follows hypergeometric distribution .
e ) Binomial
f ) Binomial
g ) Binomial
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