Gala apples sampled at random from a specific orchard in New Zealand have a mean weight of μ= 147g with a variance of σ2= 841g^2, and the weights follow a normal distribution quite well. The grower wants to sell the apples in 1kg bags (i.e. 1,000g bags). The grower proposes that each bag will be packed with7 randomly selected apples. What is the probability that a randomly sampled bag of 7 apples will weigh more than 1kg?