Question

Suppose that the weight of seedless watermelons is normally distributed with mean 6.2 kg. and standard deviation 1.7 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 7.3 kg? _____

d. What is the probability that a randomly selected watermelon will weigh more than 5.4 kg? _____

e. What is the probability that a randomly selected seedless watermelon will weigh between 6.4 and 7.3 kg? _____

f. The 80th percentile for the weight of seedless watermelons is _____ kg.

** Enter an integral or decimal number, accurate to at least 4 decimal places.

Answer 1

a) X ~N( 6.2 , 1.7)

b) The median seedless watermelon weight is 6.2

c) When X = 7.3 kg, The Z score is

d)

e)

f) For 80th percentile , the critical value of Z is 0.841