In the Hackspace there are 3 Prusa 3D Printers, Hopper, Lovelace and Utting which have been running since the start of the year. • Hopper has done 30% of the total printing load. • Lovelace has done 22% of the total printing. • The rest of the printing was done on Utting. Hopper has had a 8% failure rate, Lovelace has had a 11% failure rate and Utting succeeds 96% of the time. (a) Draw a fully labelled tree diagram to show all the possible outcomes and their probabilities. (b) Find the probability that: i. A print will be done on Hopper and is successful ii. A print will fail iii. Given that a print has succeeded, what is the probability that it was printed on Lovelace

In the Hackspace there are 3 Prusa 3D Printers, Hopper, Lovelace and Utting which have been running since the start of the year. • Hopper has done 30% of the total printing load. • Lovelace has done 22% of the total printing. • The rest of the printing was done on Utting. Hopper has had a 8% failure rate, Lovelace has had a 11% failure rate and Utting succeeds 96% of the time. (a) Draw a fully labelled tree diagram to show all the possible outcomes and their probabilities. (b) Find the probability that: i. A print will be done on Hopper and is successful ii. A print will fail iii. Given that a print has succeeded, what is the probability that it was printed on Lovelace

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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