Answered: The frog wants to send a gift to the…

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 frog wants to send a gift to the princess. He needs to jump a total distance of 10 meters to reach her. Suppose that each time, the frog independently generates a random variate from the normal distribution N(1,1). If the generated variate is below zero, the frog will jump away from the princess. If the generated variate is above zero, the frog will jump towards the princess. The distance that the frog covers in each jump is the absolute value of the variate. Calculate the probability that after two jumps, the frog has still not reached the princess.

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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