5. An industrial machine manufactures beams for sale whose length follows a normal distribution with a mean of 150 cm and a standard deviation of 2 cm. with a mean of 150cm and a standard deviation of 2cm. A beam does not comply with the quality control if it has a length above 153.1cm or below 149.3cm. A batch beams manufactured by this machi is offered for sale if more than 98% of the beams that compose it comply with the quality control. the quality control. wwwwww a) Calculate the probability that a beam meets quality control. wwwwwww b) Calculate the probability that a batch wwwwwwwww wwwmmmmmmmmm wwwmm wwwwwww of 150 beams can be placed for sale.

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