A Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the probability of not meeting specification for the first component is equal to 0.09 For the second and third components the probabilities of not meeting specifications are 0.03 and0.07 respectively, Assuming that the components are independent in tems of not meeting the specification, determine the probability mass function of the number of in the assembly that does not meet specification. components

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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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A. Genuine motor company manufactures an assembly which consists of three mechanical
components. Suppose that the probability of not meeting specification for the first component is
equal to 0 09 For the second and third components the probabilities of not meeting specifications
are 003 and0 07 respectively. Assuming that the components are independent in terms of not
meeting the specification, determine the probability mass function of the number of components
in the assembly that does not meet specification.
B. Mowasalat runs bus service from Muscat to Dubai every day with the seat capacity of
50passengers. The company has noticed that even though customer purchases the ticket, some of
them do not show up. Keeping this information in mınd, the company issues 3 tickets more than
the seat capacity. According to their experience, the probability that the passenger shows up for
the journey is 93%. What is the probability that all the passengers who show up can get a ride?
Transcribed Image Text:A. Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the probability of not meeting specification for the first component is equal to 0 09 For the second and third components the probabilities of not meeting specifications are 003 and0 07 respectively. Assuming that the components are independent in terms of not meeting the specification, determine the probability mass function of the number of components in the assembly that does not meet specification. B. Mowasalat runs bus service from Muscat to Dubai every day with the seat capacity of 50passengers. The company has noticed that even though customer purchases the ticket, some of them do not show up. Keeping this information in mınd, the company issues 3 tickets more than the seat capacity. According to their experience, the probability that the passenger shows up for the journey is 93%. What is the probability that all the passengers who show up can get a ride?
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