Determine whether the variable X has a binomial distribution in each of the following cases. If it does, explain why and determine the values of the parameters n and p. If it doesn't, explain why not.

a) You toss five fair coins - - a loonie, a quater, a dime, a nickel and a penny.

X = number of coins that land on Heads

b) You select one row in the random digits Table B from the textbook.

X = number of 8's in the row

Question

Mathematics

Smudge

13 July, 00:28

Determine whether the variable X has a binomial distribution in each of the following cases. If it does, explain why and determine the values of the parameters n and p. If it doesn't, explain why not.

a) You toss five fair coins - - a loonie, a quater, a dime, a nickel and a penny.

X = number of coins that land on Heads

b) You select one row in the random digits Table B from the textbook.

X = number of 8's in the row

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Answers (1)

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Arthur Marks · Answer 1

Option a has a binomial distribution because the variable X has two sample space. n is the number of times the coin was tossed, which is 5 and p is the chance of success which is 0.5

option b does not have a binomial distribution because there are more than two sample space for the variable X.