Your mother said you can buy three boxes of Cracker Jacks. What is the probability that you will find one tattoo out of those three boxes? The probability of finding a tattoo in a single box of Cracker Jacks is .20.
Solution:
Given, p=0.20,q=0.80,n=3p=0.20,q=0.80,n=3p=0.20,q=0.80,n=3
X∼Bin(n,p)X\sim Bin(n,p)X∼Bin(n,p)
P(X=1)= 3C1(0.20)1(0.80)2=3(0.2)(0.64)=0.384P(X=1)=\ ^3C_1(0.20)^1(0.80)^2=3(0.2)(0.64)=0.384P(X=1)= 3C1(0.20)1(0.80)2=3(0.2)(0.64)=0.384
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