Suppose that the weight of seedless watermelons is normally distributed with mean 6 kg. and standard deviation 1.3 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 6.5 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.6 and 7.2 kg? f. The 80th percentile for the weight of seedless watermelons is 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 kg. and standard deviation 1.3 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 6.5 kg?
e. What is the probability that a randomly selected seedless
watermelon will weigh between 6.6 and 7.2 kg?
f. The 80th percentile for the weight of seedless watermelons is
kg.
Transcribed Image Text:Suppose that the weight of seedless watermelons is normally distributed with mean 6 kg. and standard deviation 1.3 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 6.5 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.6 and 7.2 kg? f. The 80th percentile for the weight of seedless watermelons is kg.
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