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With four programs in memory and with $80$% average $I/O$ wait, the $\text{CPU}$ utilization is ?

  1. $60$%    
  2. $70$%    
  3. $90$%    
  4. $100$%
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Ans:-A

Explanation:-CPU utilisation is given by the formula

= 1 - P pow n

CPU utilisation is calculated from a probabilistic viewpoint. P stands for the fraction of time waiting for I/O to complete. 

Number of processes in memory = n

The probability that all n processes are waiting for I/O is p pow n.

P=80%=80/100=0.8

n=4

CPU Utilization = 1 - p pow n

= 1 - (0.8) pow 4

= 1 - 0.4096

= 60%

also--> https://gateoverflow.in/99962/with-four-programs-memory-and-with-average-wait-utilization

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