Answered: Tomatoes are sold in three sizes:…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question 10
Tomatoes are sold in three sizes: small, medium, and large. The weights follow a normal
distribution (4 Marks) with mean 90 grams and standard deviation 25 grams. Tomatoes weighing
less than 80 grams are classified as small.
Find the proportion of tomatoes which are classified as small.
A. 0.3446
B. 0.0228
C. 0.6554
D. 0.9772

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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