One student made a purchase from three different online retailers, A, B, and C. She paid for next day shipping on each purchase. The probabilities of next day orders arriving on time for each retailer are 0.99, 0.97, and 0.96, respectively. If purchases from different retailers arrive on time independently of one another, what is the probability that none of the student's purchases arrive the next day? (A) Less than 0.01 (B) 0.078 (C) 0.080 (D) 0.922 (E) Greater than 0.99

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 student made a purchase from three different online retailers, A, B, and C. She paid for next day
shipping on each purchase. The probabilities of next day orders arriving on time for each retailer are
0.99, 0.97, and 0.96, respectively. If purchases from different retailers arrive on time independently
of one another, what is the probability that none of the student's purchases arrive the next day?
(A) Less than 0.01
(B) 0.078
(C) 0.080
(D) 0.922
(E) Greater than 0.99
Transcribed Image Text:One student made a purchase from three different online retailers, A, B, and C. She paid for next day shipping on each purchase. The probabilities of next day orders arriving on time for each retailer are 0.99, 0.97, and 0.96, respectively. If purchases from different retailers arrive on time independently of one another, what is the probability that none of the student's purchases arrive the next day? (A) Less than 0.01 (B) 0.078 (C) 0.080 (D) 0.922 (E) Greater than 0.99
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