Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.2 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 6.6 kg?

d.What is the probability that a randomly selected watermelon will weigh more than 5.6 kg?

e.What is the probability that a randomly selected seedless watermelon will weigh between 5.5 and 6.2 kg?

f.The 85th percentile for the weight of seedless watermelons is

kg.