A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift, and 4 to the night shift. In how many ways can the assignment be made?  (ii) One drawer in a dresser contains 8 blue socks and 6 white socks. A second ,rawer contains 4 blue socks and 2 white socks. One sock is chosen from each drawer. What is the probability that they match? Provide your answer in four decimal points.. (iii) A certain delivery service offers both express and standard delivery. Seventy-five percent of parcels are sent by standard delivery, and 25% are sent by express. Of those sent standard, 80% arrive the next day, and of those sent express, 95% arrive the next day. A record of a parcel delivery is chosen at random from the company’s files. (a) What is the probability that the parcel was shipped express and arrived the next day? (b) What is the probability that it arrived the next day? (c) Given that the package arrived the next day,

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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(i) A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift, and 4 to the night shift. In how many ways can the assignment be made? 

(ii) One drawer in a dresser contains 8 blue socks and 6 white socks. A second ,rawer contains 4 blue socks and 2 white socks. One sock is chosen from each drawer. What is the probability that they match? Provide your answer in four decimal points..

(iii) A certain delivery service offers both express and standard delivery. Seventy-five percent of parcels are sent by standard delivery, and 25% are sent by express. Of those sent standard, 80% arrive the next day, and of those sent express, 95% arrive the next day. A record of a parcel delivery is chosen at random from the company’s files. (a) What is the probability that the parcel was shipped express and arrived the next day? (b) What is the probability that it arrived the next day? (c) Given that the package arrived the next day, what is the probability that it was sent express? .

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