One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations.One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations.0.81570.21650.18430.97060.7835

Let X be the random variable from normal distribution with mean (μ) = 93.2° F and standard deviation…

Answered: dial to set the water temperature. When…

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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One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations.

0.8157

0.2165

0.1843

0.9706

0.7835

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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