Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 1.4 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 1.4 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 6.4 kg? 

e.  What is the probability that a randomly selected seedless watermelon will weigh between 6 and 6.8 kg? 

f.  The 75th percentile for the weight of seedless watermelons is  kg.

 

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