Give thenbspcumulative distributionnbspfor 2 y lt 3

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1. The probability distribution of Y, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width is given by

                                    
  

yi

  
  

0

  
  

1

  
  

2

  
  

3

  
  

4

  
  

f(yi)

  
  

0.41

  
  

0.37

  
  

0.16

  
  

0.05

  
  

0.01

  
                             

a. Find the probability that the number of imperfections for the fabric is less than 2.

b. Give the cumulative distribution for 2? y < 3.

c. Calculate the expected value for this distribution.

d. Calculate the variance and standard deviation for this distribution.

Reference no: EM13601782

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