1. A manufacturer of marble countertops for kitchen countertops manufactures them in Venetian marble slabs measuring 2.4 x 1.8 meters. It is known that the weight of the marble slabs has a normal distribution with an average of 260 kg. and a variance of 81 kg^2. a) 15 of these marble slabs will be shipped in a transport that has a maximum loading capacity of 4 tons. What is the probability that the maximum load capacity of the transport will be exceeded? b) The quality inspector selects a random sample of 10 marble slabs from the production line and wishes to determine what is the probability that the average weight of the sample is more than 255 kg.
1. A manufacturer of marble countertops for kitchen countertops manufactures them in Venetian marble slabs measuring 2.4 x 1.8 meters. It is known that the weight of the marble slabs has a normal distribution with an average of 260 kg. and a variance of 81 kg^2. a) 15 of these marble slabs will be shipped in a transport that has a maximum loading capacity of 4 tons. What is the probability that the maximum load capacity of the transport will be exceeded? b) The quality inspector selects a random sample of 10 marble slabs from the production line and wishes to determine what is the probability that the average weight of the sample is more than 255 kg.
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 marble countertops for kitchen countertops manufactures them in Venetian marble slabs measuring 2.4 x 1.8 meters. It is known that the weight of the marble slabs has a
a) 15 of these marble slabs will be shipped in a transport that has a maximum loading capacity of 4 tons. What is the
b) The quality inspector selects a random sample of 10 marble slabs from the production line and wishes to determine what is the probability that the average weight of the sample is more than 255 kg.
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