Mathematics

Mathematics

Problem

This table provides data on the daily maximum temperatures in Barcelona during summer.
Summer Temperatures<br>in BarcelonaMonth
JuneJulyAug
Mean days max. ≥40∘C\ge 40^\circ\text{C}0.31.20.7
Mean days max. ≥35∘C\ge 35^\circ\text{C}3.05.85.3
Mean days max. ≥30∘C\ge 30^\circ\text{C}9.412.312.0
a. Estimate the probability that on an August day in Barcelona, the maximum temperature will be: - 35∘C35^\circ\text{C} or higher - less than 30∘C30^\circ\text{C} . b. Estimate the probability that on any summer day in Barcelona, the temperature will be 30∘C30^\circ\text{C} or higher. c. It is a 40∘C40^\circ\text{C} summer day in Barcelona. Estimate the probability that the month is July.

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