In: Statistics and Probability
Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard deviation 1.8 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 7.7 kg? d. What is the probability that a randomly selected watermelon will weigh more than 6.8 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.4 and 7.2 kg? f. The 80th percentile for the weight of seedless watermelons is kg.