Answered: a. What is the value of p as a decimal?…

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

19% of fresh hamburgers(burgers) sold by JJG have insect infestation while 81% do not have insect infestation Burger insect infestation is always independent from burger to burger. JJG sells its burgers in packages of 5 burgers. Suppose we randomly select one package of JJG burgers. Let X be the total number of the burgers in the selected package which have insect infestation. Let p = the probability that a particular hamburger in the pckage has insect infestation.

a. What is the value of p as a decimal?
b. What is the probability that X = 0?
c. What is the probability that X < 2?
d. What is the probability that 1 ≤ X ≤ 3?
e. What is the expected value of X?
f. What is the standard deviation of X?
g. For quality control, a package of JJG burgers is rejected if more than 1 hamburger in the package has insect infestation. What is the probability that a package is rejected
h. If we buy 4 packages of JJG burgers, what is the probability that exactly 2 packages are rejected.?
i. If we buy 4 packages of JJG burgers, what is the probability that none are rejected
j. j) What is the probability that X=2 and X = 3?

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