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

Keely Parrish

13 November, 18:35

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

+5

Answers (1)

Know the Answer?

Tess Steele · 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.