Question #161017

To investigate how often families camp in the summer, The Outdoorsman magazine surveyed 1,100 adults living with children under the age of 18. The survey results are shown in the table below.


Expert's answer

The survey results are shown in the table below.  

# of times in summer# of survey resoinses010011202180320042805100680740\begin{matrix} \text{\# of times in summer} & \text{\# of survey resoinses} \\ 0 & 100 \\ 1 & 120 \\ 2 & 180 \\ 3 & 200 \\ 4 & 280 \\ 5 & 100 \\ 6 & 80 \\ \geq7 & 40 \\ \end{matrix}

N=1100N=1100


a) If AA is the event that a family does not camp out, then


P(A)=1001100=1110.091P(A)=\dfrac{100}{1100}=\dfrac{1}{11}\approx0.091

b) If BB is the event that a family camps at least 3 times during the summer, then


P(B)=200+280+100+80+401100=7110.64P(B)=\dfrac{200+280+100+80+40}{1100}=\dfrac{7}{11}\approx 0.64



c) If CC is the event that a family camps at most 2 times during the summer, then

P(C)=100+120+1801100=4110.36P(C)=\dfrac{100+120+180}{1100}=\dfrac{4}{11}\approx 0.36


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