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4. (6 points) The masses of Fuji apples are normally distributed with a mean of 163 g and a standard deviation of 6. 83 g.

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4. (6 points) The masses of Fuji apples are normally distributed with a mean of 163 g and a standard deviation of 6. 83 g. When Fuji apples are picked, they are classified as small, medium, large or extra large depending on their mass. Large apples have a mass of between 172 g and 183 g. la. Determine the probability that a Fuji apple selected at random will be a [2 marks] large apple. P ( 172 4 x ( 183) = normal caf ( 172, 183, 16 3, 6, 83) = 10. 092 Approximately 68% of Fuji apples have a mass within the medium-sized category, which is between k and 172 g. Ib. Find the value of k. [3 marks]

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