Question
In: Statistics and Probability
In ad determine whether the given procedure results in a binomial distribution For those that are not binomial identify at least one requirement that is not satisfied.
In ad determine whether the given procedure results in a binomial distribution For those that are not binomial identify at least one requirement that is not satisfied. For those that are define the binomial random variable.
a) Drawing 5 cards from a deck of cards, with replacement, and counting the number of clubs.
b) Drawing 5 cards from a deck of cards, without replacement, and counting the number of clubs
c) Surveying 1000 college students by asking them how many credits they are currently taking
d) Surveying 1000 college students by asking them if they are taking over 15 credits.
Solutions
Expert Solution
a.
YES, it is binomial distribution
binomial random variable :
x = number of clubs out of 5 cards
b.
NO, it is not binomial distribution
reason :
each trial is not independent
as we see if we don't replace the probability changes as the number of cards remaining change also the number of spades remaining depends on the number of spades in previous trials
c.
NO, it is not binomial distribution
reason :
each trial has to have only 2 outcomes : failure or success
whereas here the outcomes is the number of credits
d.
YES, it is binomial distribution
binomial random variable :
x = number of students taking more than 15 credits
orchestra answered 2 years agoRelated Solutions
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