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Chris Spencer edited Mas Questions.tex
about 10 years ago
Commit id: d645cfb07e5aaee4b44c2b52f177def9ab450ce2
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b) $P(happy|agree)=345/379=91\%$\\
$ P(happy)=1262/1362=92.7\%$\\
The percentages are close together, but independence needs that these percentages need to be equal.So they are not independent.\\
\subsection{5.61}
a) $(0.5)^3=1/8$\\
b) $0.5*0.5*0.5=1/8$\\
\subsection{5.63}
They are both the same probability.Each time you flip a coin there is a probability of $1/6$ to roll any number from 1-6, so total probability here $\frac{1}{6}^5$\\
\subsection{5.65}
a)Neither fastened is $1-0.84=0.16$ then for two people, $(0.16)(0.16)=0.0256$\\
b)$1-0.0256=0.9744$\\
\subsection{5.69}
a) HTHTH HHTTT THHTH HHHTT\\
b) $11/20$\\