A woman is flipping a fair coin until 3 heads are flipped. What is the probability that it takes 10 flips for this to occur? (Round to four decimal places.)
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.
A woman is flipping a fair coin until 3 heads are flipped.
Answer:
From the above information
the Given values are
n=10 ( total number coins are flip sample size)
p=0.5 (probability of one successful trial is p=1/2)
x=3 (success )
X~B(n,p)
X~B(10,0.5)
The p.m.f of binomial distribution is
P(X=x)=
X=3
P(X=3)=
P(X=3)=0.1172
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