Answered: Use the formula for z and the z…

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

Use the formula for z and the z distribution (normal table) to solve the following problems. Be sure to include a diagram for each question and carry to 2 decimal places. The time it takes an elementary student to complete a standardized fitness test may be looked upon as a random variable having a normal distribution with a mean µ = 38.8 minutes and standard deviation σ = 12.6 minutes.

Find the probabilities that a student will complete the fitness test in

a) At least 40 minutes?

b) Between 10 and 30 minutes?

c) At most 60 minutes?

d) Between 30 and 50 minutes?

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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