(a) The probability that a person flipping a coin gets the sixth head on the ninth flip is (Round to four decimal places as needed.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
As per the question , providing solution for part a)
It is a case of negative binomial probability :
The probability that a person flipping a coin gets the sixth head on the ninth flip is calculated below:
Let X denotes that getting the sixth head on the ninth flip.
That is, x = 6 , n = 9
Flipping a coin results in head or tail with probability , p = 0.5
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