Question #344878


20% of the Chocos packets contain a free toy. Whats the probability youll need to open fewer than 4 packets before finding your first toy?


1
Expert's answer
2022-05-31T15:34:52-0400

The formula for geometric distribution is


P(X=x)=(1p)xpP(X=x)=(1-p)^xp

Given p=0.2p=0.2

P(X<4)=P(X=0)+P(X=1)P(X<4)=P(X=0)+P(X=1)

+P(X=2)+P(X=3)+P(X=2)+P(X=3)

=(10.2)0(0.2)+(10.2)1(0.2)=(1-0.2)^0(0.2)+(1-0.2)^1(0.2)

+(10.2)2(0.2)+(10.2)3(0.2)+(1-0.2)^2(0.2)+(1-0.2)^3(0.2)

=0.2+0.16+0.128+0.1024=0.5904=0.2+0.16+0.128+0.1024=0.5904


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS