In a laboratory test, two products A and B are mixed together. Both products are measured with a measuring spoon that gives a normal distribution of (mean = 10 grams and standard deviation = 0.5 grams) for both products.
What is the probability that the amount of product B is at least 1 gram higher than the amount of product A?
the probability that a sample will be .5 s.d. above (or below) the mean
... can be found in a z-score table ... (.3085)
multiply the individual probabilities together to find
... the probability that they both occur simultaneously