3. A shop sells carrots and broccoli. The weights of carrots can be modelled by a normal distribution with mean 130 grams and variance 25 grams \(^ { 2 }\) and the weights of broccoli can be modelled by a normal distribution with mean 400 grams and variance 80 grams \({ } ^ { 2 }\). Find the probability that the weight of six randomly chosen carrots is more than two times the weight of one randomly chosen broccoli.