Question

Find the indicated probability.

Answer 1

Answer:

a) $P_1=\dfrac{847}{997}.$

b) $P_2=\dfrac{513}{997}.$

c) $P_3=\dfrac{334}{997}.$

d) $P_4=\dfrac{37}{997}.$

e) $P_5=\dfrac{521}{997}.$

Step-by-step explanation:

The table

$\begin{array}{lccccc}&\text{Nonsmoker}&\text{Occasional}&\text{Regular}&\text{Heavy}&\text{Total}\\\text{Men}&334&50&68&32&484\\\text{Women}&357&30&89&37&513\\\text{Total}&691&80&157&69&997\end{array}$

shows the smoking habits of a group of asthma sufferers.

a) The probability of getting a woman or nonsmoker is

$P_1=\dfrac{513+334}{997}=\dfrac{847}{997}.$

b) The probability of getting a woman is

$P_2=\dfrac{513}{997}.$

c) The probability of getting a man and a non smoker is

$P_3=\dfrac{334}{997}.$

d) The probability of getting a woman and heavy smoker is

$P_4=\dfrac{37}{997}.$

e) The probability of getting a man or heavy smoker is

$P_5=\dfrac{484+37}{997}=\dfrac{521}{997}.$