The weight of apples is normally distributed. Large apples have a mean of 15 oz and...

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The weight of apples is normally distributed. Largeapples have a mean of 15 oz and medium apples have a mean of 10 oz.The standard deviation of the weight of both large and mediumapples is 2 oz.
You select a large apple and a medium apple at random.Let L be the weight of the large apple and M be the weight of amedium apple.
Let X be the total weight of the two apples (X = L + M).The distribution of X is also normal.
1. Use the rules for means and variances to find themean and standard deviation of X.
2. What is the probability that the total weight X isbetween 22 and 28 oz?

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4.4 Ratings (817 Votes)

Let L be the weight of the large apples and M be the weight ofmedium applesMean of large apples and medium apples are given as 15oz and10oz respectivelyThus and It is also given that X is the total weight LMBut the mean of total weight of a large apple and medium appleis See Answer

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