In: Statistics and Probability
Weights of mandarin oranges sold at a supermarket follow a normal distribution with mean 102 grams and standard deviation 10 grams. Weights of grapefruits sold at the supermarket follow a normal distribution with mean 257 grams and standard deviation 21 grams. If we randomly select one of each fruit, what is the probability that the grapefruit is more than three times heavier than the mandarin orange?