3. The total rainfall (measured in inches) in a summer i

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3. The total rainfall (measured in inches) in a summer is normally distributed with mean 10 inches and standard deviatio

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3. The total rainfall (measured in inches) in a summer is normally distributed with mean 10 inches and standard deviation 4 inches. If rainfall in a particular summer is under 4 inches, the agriculture department declares it a drought. If there is a drought in two consecutive summers, the agriculture department declares an emergency in food production. Assume weather conditions are independent from one summer to the next. (a) Find the probability that there will be no drought in a particular summer. (b) Find the probability that there will be no drought in the next four summers. (c) Find the probability that in a four year period no emergency is declared. It is given that area under a standard normal distribution between Z = 0 and Z = 1.50 is 0.4332.

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