Neco 2019 Geography Question 12

Practice objective / multiple choice question 12 from the 2019 Neco Geography examination.

Neco 2019 Geography Objective / Multiple Choice Hard Difficulty
Question 12 NECO • 2019 • GEOGRAPHY • objective

A region is exposed to two environmental hazards: flood and landslide. The annual probability of a flood is \(p_f\) and that of a landslide is \(p_l\). Their respective average monetary impacts are \(I_f = 3.5\) million Naira and \(I_l = 2.0\) million Naira. When both hazards occur in the same year, a synergy effect adds an extra loss of \(k = 5\) million Naira, modelled by the term \(k\,p_f\,p_l\). The total expected annual loss (including synergy) is 4.5 million Naira and it is known that \(p_f = 2p_l\). Determine the values of \(p_f\) and \(p_l\).

Answer Options

A. p_f \approx 0.600 (60.0\%), p_l \approx 0.300 (30.0\%)
Correct Answer B. p_f \approx 0.716 (71.6\%), p_l \approx 0.358 (35.8\%)
C. p_f \approx 0.667 (66.7\%), p_l \approx 0.333 (33.3\%)
D. p_f \approx 0.800 (80.0\%), p_l \approx 0.400 (40.0\%)
Correct Answer
B
Correct Option:
p_f \approx 0.716 (71.6\%), p_l \approx 0.358 (35.8\%)

About This Question

This is Neco 2019 Geography Question 12. It is one of the objective questions from the 2019 Neco Geography examination.

Difficulty level: Hard .

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