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

YES, it is binomial distribution

binomial random variable :

x = number of clubs out of 5 cards

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

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

YES, it is binomial distribution

binomial random variable :

x = number of students taking more than 15 credits

orchestra answered 1 year ago

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