watermelons is normally distributed with mean 6.3 kg. and standard deviation 2 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. 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 6.7 and 7.7 kg? f. The 90th percentile for the weight of seedless watermelons is kg.

watermelons is normally distributed with mean 6.3 kg. and standard deviation 2 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. 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 6.7 and 7.7 kg? f. The 90th 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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Question

Suppose that the weight of seedless watermelons is normally distributed with mean 6.3 kg. and standard deviation 2 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible.

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 6.7 and 7.7 kg?

f. The 90th percentile for the weight of seedless watermelons is kg.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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