Show work no excel please Accidents on highways are one of the main causes of de

Question

Show work no excel please

Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury, In foggy, rainy, and sunny conditions, 1/6, 1/8, and 1/27 of the accidents result in death, respectively. Sunny conditions occur 64% of the time, while rainy and foggy conditions each occur 18% of the time. What is the probability that an accident results in a death? Round your answer to three decimal places (e.g. 98.765)

Explanation / Answer

Solution:

probability that sunny conditions = 0.64

probability of accident result in death in sunny conditions = 1 / 27 = 0.0370

probability of foggy conditions = 0.18

probability of accident result in death in foggy conditions = 1/6 = 0.1666

probability of rainy conditions = 0.18

probability of accident result in death in rainy conditions = 1/8 = 0.125

Probability that an accident result in death = 0.64*0.0370 + 0.18*0.1666 + 0.18*0.125

= 0.0236 + 0.0299 + 0.0225

P = 0.076 = 7.600%

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