The following histogram shows part of the probability distribution of the size (

Question

The following histogram shows part of the probability distribution of the size (in megatons of released energy) of large meteors that hit the Earth's atmosphere. (A large meteor is one that releases at least one megaton of energy, equivalent to the energy released by a small nuclear bomb.) Calculate or estimate the following probabilities. (Round your answers to three decimal places.) (a) That a large meteor hitting the Earth's atmosphere will release between 1 and 6 megatons of energy. (b) That a large meteor hitting the Earth's atmosphere will release between 6 and 7.5 megatons of energy. (c) That a large meteor will release at least 7 megatons of energy.

Explanation / Answer

a ) Probability that a large meteor hitting the Earth's atmosphere will release between 1 and 6 megatrons of energy

= 0.156 + 0.088 + 0.060 + 0.046 + 0.037 = 0.387

b ) Probability that a large meteor hitting the Earth's atmosphere will release between 6 and 7.5 megatrons of energy

= 0.031 + 0.026 = 0.057

c ) Probability that a large meteor will release atleast 7 megatons of energy

=0.026 + 0.023 + 0.020 + 0.018 + 0.017 + 0.015 + 0.014 + 0.013 + 0.012 + 0.011 = 0.169

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