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.
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.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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