find the probability that next March Roanoke receives a) less than 1.84 cm of rain; b) more than 5 cm but not over 7 cm of rain; c) more than 13.8 cm of rain

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The average rainfall, recorded to the nearest hundredth of a centimeter, in Roanoke, Virginia for the month of March is 8.22cm. Assuming a normal distribution with a standard deviation of 2.83 cm., find the probability that next March Roanoke receives a) less than 1.84 cm of rain; b) more than 5 cm but not over 7 cm of rain; c) more than 13.8 cm of rain. Please answer this problem. With solution please. Thank you.  

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