In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.

(a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain.

(b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded.

(c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded. 

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