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1) 97% of calculators manufactured by Tech Corp has no defects. For a lot of 300...

1) 97% of calculators manufactured by Tech Corp has no defects. For a lot of 300 calculators

           a) Find the probability that exactly 4 calculators are defective.

           b) Find the mean and standard deviation of the number of defective calculators.

2)  30% of pet owners bough their pets at Petco. Find the probability that out of 8 randomly selected pets at most 2 were bought at Petco.

3) A burglar alarm system has six fail-safe components. The probability of each failing is 0.05. Find the probability that the given number of components will fail:

  1. None will fail.  
  2. At least 1 will fail.
  3. All will fail.   
  4. Fewer than two will fail.      

  

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