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Suppose that the weight of seedless watermelons is normally distributed with mean 6 kg. and standard deviation 1 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. What is the median seedless watermelon weight? kg.
c. What is the Z-score for a seedless watermelon weighing 6.6 kg?
d. What is the probability that a randomly selected watermelon will weigh more than 6.1 kg?
e. What is the probability that a randomly selected seedless watermelon will weigh between 5.3 and 6.1 kg?
f. The 85th percentile for the weight of seedless watermelons is kg.
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