Classify the following variables as continuous or discrete: a.) A binomial

nicekikah

nicekikah

Answered question

2021-09-29

Classify the following variables as continuous or discrete:
a.) A binomial distribution of the number of green pea plants in a batch of six ?
b.) The test scores of this final examination ?
c.) A binomial probability distribution of coin flips landing heads ?

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-30Added 102 answers

Step 1
We have to classify the variables as continuous or discrete
Step 2
a). Here batch contains 6 plants
Let X be the number of green pea plants
Then possible values of X are 1, 2, 3, 4, 5, 6
That is X is taking at most countable number of values. Therefore, X is a discrete variable.
b). Generally test scores are given in integers like 20, 52, 45 etc. Therefore test scores is a discrete variable.
c). A binomial distribution has finite number of trials n
Let Let X be the number of flips landing heads
Then X can take the values 0, 1, 2, - - - - - - -, n
That is X is taking at most countable number of values. Therefore, a binomial probability distribution of coin flips landing heads is a discrete variable.

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