Example #1 Determine if each of the following is an example of a Binomial Experi

Question

Example #1 Determine if each of the following is an example of a Binomial Experiment a used car lot is obtained, and their mileages recorded. b) A poll of 1,200 registered voters is conducted in which the respondents are asked whether they believe Congress should reform Social Security. One hundred randomly selected US parents with at least one child under the age of 18 are surveyed and asked if they have ever spanked their child. The number of parents who have spanked their child is recorded c) d) Three cards are drawn from a deck without replacement and the number of aces is recorded

Explanation / Answer

Binomial distribution deals with dichotomous outcome, that is, success/failure or yes/no.

A random variable is said to follow binomial distribution when it contains single bit of information such as

success/yes/true/one (with probability p) or

failure/no/false/zero(with probability q = 1 p).

a)No, it is not an example of binomial experiment. Because the sample doesn’t contain dichotomous outcome.

b)Yes, it is an example of binomial experiment. Because it contains yes/no type of outcome.

c) Yes, it is an example of binomial experiment. Because it contains yes/no type of outcome.

d) No, it is not an example of binomial experiment. Because the sample doesn’t contain dichotomous outcome.

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