Maurice Tutor

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Category > Management Posted 12 Jan 2018 My Price 8.00

cumulative distribution function

2.108   An industrial process manufactures items that can be classified as either defective or not defective. The probability that an item is defective is 0.1. An experiment is conducted in which 5 items are drawn randomly from the process. Let the random variable X be the number of defectives in this sample of 5.  What is the probability mass function of X?

 

2.109   The life span in hours of an electrical compo- nent is a random variable with cumulative distribution function

x 1 − e− 50 ,  x > 0,

 

2.113    Impurities in a batch of final product of a chemical process often reflect a serious problem. From considerable plant data gathered, it is known that the proportion Y of impurities in a batch has a density function given by

− ≤ ≤ 10(1     y)9,   0     y     1,

f (y) =

0,                elsewhere.

(a)   Verify that the above is a valid density function.

(b)   A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%. With the current quality of the process, what is the percentage of batches that are not acceptable?

 

F (x) =

 

0,              eleswhere.

Answers

Maurice Tutor
(5)
Status NEW Posted 12 Jan 2018 11:01 PM My Price 8.00

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