Answered: how many chicks do we expect will hatch…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The incubation time for a breed of chicks is normally distributed with a mean of 36 days and standard deviation of approximately 1 day. Look at the figure below and answer the following questions. If 10,000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all eggs eventually hatch.)

(a) in 34 to 38 days

(b) in 35 to 37 days

(c) in 33 to 39 days

Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
u - 30 u- 20
u + 20 u + 3ơ
68%
95%
99.7%

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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