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(D) The helicopter is equally likely to crash anywhere in the region.Total area of the rectangular region $= (9 	imes 4.5) \, km^2 = 40.5 \, km^2$.Th

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$5$/$27$

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(D) The helicopter is equally likely to crash anywhere in the region.Total area of the rectangular region $= (9 	imes 4.5) \, km^2 = 40.5 \, km^2$.The lake is a rectangle with length $= (9 - 6) \, km = 3 \, km$ and width $= (4.5 - 2) \, km = 2.5 \, km$.Area of the lake $= (3 	imes 2.5) \, km^2 = 7.5 \, km^2$.The probability that the helicopter crashed inside the lake is given by the ratio of the area of the lake to the total area.$P(	ext{helicopter crashed in the lake}) = \frac{	ext{Area of the lake}}{	ext{Total area}} = \frac{7.5}{40.5} = \frac{75}{405} = \frac{5}{27}$.

$A$ missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure. What is the probability that it crashed inside the lake shown in the figure?

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