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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![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 of 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.
wwwwwww
a) Calculate the probability that a beam
meets quality control.
b) Calculate the probability that a batch
of 150 beams can be placed for sale.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F481ba9ff-af16-41c9-976d-85ecb2daa95f%2F82b99eca-d1c8-4dc0-aae2-56a8628b129a%2F33p7hl_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 of 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.
wwwwwww
a) Calculate the probability that a beam
meets quality control.
b) Calculate the probability that a batch
of 150 beams can be placed for sale.
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