Chris Spencer edited Mas Questions.tex  about 10 years ago

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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) $11/20$\\