Suppose that the weight of seedless watermelons is normallydistributed with mean 6.5 kg. and standard deviation 1.8 kg. Let Xbe the weight of a randomly selected seedless watermelon. Round allanswers to 4 decimal places where possible. a. What is thedistribution of X? X ~ N( , ) b. What is the median seedlesswatermelon weight? kg. c. What is the Z-score for a seedlesswatermelon weighing 7.7 kg? d. What is the probability that arandomly selected watermelon will weigh more than 6.8 kg? e. Whatis the probability that a randomly selected seedless watermelonwill weigh between 6.4 and 7.2 kg? f. The 80th percentile for theweight of seedless watermelons is kg.