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 500 g and a standard deviation of 15 g. The weights of the candle stands have a mean of 200 g and a standard deviation of 8 g. 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 exceeds 717 g, the company has to pay for additional shipping.
Find the probability that the total weight exceeds 717 g.
P(T > 717) ≈