Answered: Sche has written a love letter to…

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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Related questions

Question

Sche has written a love letter to Letecia and wants to deliver it in

a romantic way, such as baking it into a cake or having someone

float it downstream while they are walking by a river. The

problem is, romantic approaches aren’t always practical, and Sche

estimates that any of the five methods she has imagined have

only a 65% chance of success. So to be safe, she decides to try

all five methods. Assume that each attempt is independent of the

others.

1.) What is the probability that all five attempts succeed?

2.) What is the probability that all five attempts fail?

3.) What is the probability that AT LEAST ONE of the attempts succeeds?

Expert Solution

Step 1: Introduce the given information

1) According to the given information,

Probability of success, p = 65% = 0.65

Number of trials, n = 5

Let X = Number of the attempts succeeds.

Using formula,

$P left parenthesis X equals r right parenthesis equals C presuperscript n subscript r cross times left parenthesis p right parenthesis to the power of r cross times left parenthesis 1 minus p right parenthesis to the power of n minus r end exponent$