Answer:
a) [tex]P_1=\dfrac{847}{997}.[/tex]
b) [tex]P_2=\dfrac{513}{997}.[/tex]
c) [tex]P_3=\dfrac{334}{997}.[/tex]
d) [tex]P_4=\dfrac{37}{997}.[/tex]
e) [tex]P_5=\dfrac{521}{997}.[/tex]
Step-by-step explanation:
The table
[tex]\begin{array}{lccccc}&\text{Nonsmoker}&\text{Occasional}&\text{Regular}&\text{Heavy}&\text{Total}\\\text{Men}&334&50&68&32&484\\\text{Women}&357&30&89&37&513\\\text{Total}&691&80&157&69&997\end{array}[/tex]
shows the smoking habits of a group of asthma sufferers.
a) The probability of getting a woman or nonsmoker is
[tex]P_1=\dfrac{513+334}{997}=\dfrac{847}{997}.[/tex]
b) The probability of getting a woman is
[tex]P_2=\dfrac{513}{997}.[/tex]
c) The probability of getting a man and a non smoker is
[tex]P_3=\dfrac{334}{997}.[/tex]
d) The probability of getting a woman and heavy smoker is
[tex]P_4=\dfrac{37}{997}.[/tex]
e) The probability of getting a man or heavy smoker is
[tex]P_5=\dfrac{484+37}{997}=\dfrac{521}{997}.[/tex]
