What is the distribution of X? X - N What is the median seedless watermelon weight? What is the Z-score for a seedless watermelon weighing 7.6 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 watemelons is normally distributed with mean 6.4 kg. and standard
deviation 1.1 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 7.6 kg?
d. What is the probability that a randomly selected watermelon will weigh more than 6.7 kg?
e. What is the probability that a randomly selected seedless watermelon will weigh between 5.6 and 6.2
kg?
f. The 70th percentile for the weight of seedless watermelons is
kg.
Transcribed Image Text:Suppose that the weight of seedless watemelons is normally distributed with mean 6.4 kg. and standard deviation 1.1 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 7.6 kg? d. What is the probability that a randomly selected watermelon will weigh more than 6.7 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 5.6 and 6.2 kg? f. The 70th percentile for the weight of seedless watermelons is kg.
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