Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 2 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 8.1 kg?

d.What is the probability that a randomly selected watermelon will weigh more than 6.4 kg?

e.What is the probability that a randomly selected seedless watermelon will weigh between 7.2 and 8.2 kg?

f.The 70th percentile for the weight of seedless watermelons iskg.