Mathematics, 05.06.2020 18:03 parkerfreeze

A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching candle stand. The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g. Both distributions are approximately normal. Let T= the total weight of a randomly selected candle and a randomly selected stand, and assume that the two weights are independent. If the total weight T of the two items is under 683g, the company gets a discount on shipping. Find the probability that the total weight is under 683g. You may round your answer to two decimal places. P(T<683)≈

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