he weight of the gypsum packages filled by the gypsum filling machine in a factory shows a normal distribution with an average of 1.2 kg and a standard deviation of 0.4 kg. This gypsum filling machine fills 10000 packs of gypsum in a day. a) When one of these filled packages is chosen randomly, what is the probability that the package weight will be more than 0.9 kg but less than 1.5 kg? Calculate. b) Calculate how many kg difference can there be between the minimum weight of 10.2% of the plaster packages with the highest weight and the maximum weight of 16.6% of the plaster packages with the lowest weight? c) Find the number of packages with a package weight more than 1.3 from the gypsum packages produced in one day.
The weight of the gypsum packages filled by the gypsum filling machine in a factory shows a
a) When one of these filled packages is chosen randomly, what is the probability that the package weight will be more than 0.9 kg but less than 1.5 kg? Calculate.
b) Calculate how many kg difference can there be between the minimum weight of 10.2% of the plaster packages with the highest weight and the maximum weight of 16.6% of the plaster packages with the lowest weight?
c) Find the number of packages with a package weight more than 1.3 from the gypsum packages produced in one day.
d) What is the probability that the average weight of the randomly selected 25 packages is more than 1.4?
e) As it is known from previous studies, the weight of the produced packages between 1.1 kg and 1.3 kg indicates that the production continues at the desired standards.
Six of these gypsum packages are selected independently of each other. Find the probability that the number of selected 6 packages produced in the desired standards is less than 2.
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