A manufacturer of airplane parts knows from past experience that the probability is 0.80 that an order will be ready for shipment on time, and its 0.72 that an order will be ready for shipment on time and will also be delivered on time. What is the probability that such an order will be delivered on time given that it was ready for shipment on time?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1) A manufacturer of airplane parts knows from past experience that the probability is 0.80 that an order will be ready for shipment on time, and its 0.72 that an order will be ready for shipment on time and will also be delivered on time. What is the probability that such an order will be delivered on time given that it was ready for shipment on time?

 2) Three mountaineers Arvind, Jayesh and Mohit are climbing up a mountain with their respective probabilities of reaching the summit being 1/3,1/5&1/4 respectively. What is the probability that
i. All of them will reach the summit?
ii. At least one of them reaches the summit?
iii. Exactly one of them reaches the summit?

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