Question (3): Mr. Samy is planning for farming dates this year based on the temperature probability upcoming summer. From the past records, the probability of extreme summer temperature is 0.55. The production rate varies with the summer temperature. The summer temperature has only two outcomes i.e., extreme or moderate. The probability of best production is 0.85 given that the summer temperature is extreme, and the probability of best production is 0.15, if the temperature is not extreme but moderate. Besides, the average dates production is 0.65, if the temperature is moderate, and the average dates production is 0.35, if the temperature is extreme but not moderate. a) How is the probability of having extreme temperature if he expected the best production this year? b) How is the probability of having moderate temperature if he expected the best production this year?

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Question (3):
Mr. Samy is planning for farming dates this year based on the temperature probability
upcoming summer. From the past records, the probability of extreme summer temperature
is 0.55. The production rate varies with the summer temperature. The summer temperature has
only two outcomes i.e., extreme or moderate. The probability of best production is 0.85 given
that the summer temperature is extreme, and the probability of best production is 0.15, if the
temperature is not extreme but moderate. Besides, the average dates production is 0.65, if the
temperature is moderate, and the average dates production is 0.35, if the temperature is extreme
but not moderate.
a) How is the probability of having extreme temperature if he expected the best production
this year?
b) How is the probability of having moderate temperature if he expected the best
production this year?
Transcribed Image Text:Question (3): Mr. Samy is planning for farming dates this year based on the temperature probability upcoming summer. From the past records, the probability of extreme summer temperature is 0.55. The production rate varies with the summer temperature. The summer temperature has only two outcomes i.e., extreme or moderate. The probability of best production is 0.85 given that the summer temperature is extreme, and the probability of best production is 0.15, if the temperature is not extreme but moderate. Besides, the average dates production is 0.65, if the temperature is moderate, and the average dates production is 0.35, if the temperature is extreme but not moderate. a) How is the probability of having extreme temperature if he expected the best production this year? b) How is the probability of having moderate temperature if he expected the best production this year?
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