A bakery produces loaves of bread with weight that follows a normal distribution approximately. Themean weight is 500 grams and the standard deviation is 50 grams. (a) What is the probability that the weight of a loaf of bread is between 450 grams and 475 grams? (b) What is the minimum weight needed for a loaf of bread to be in the top 5% ? (c) A customer buys 2 loaves of bread. (i) Find the expected value and standard deviation of total weight of the 2 loaves of brea (ii) What is the probability that the total weight of the 2 loaves of bread is less than 980 grams?

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