A national study found that 80% of major U.S. companies electronically monitor t

Question

A national study found that 80% of major U.S. companies electronically monitor their employees.
A) If a major U.S. company is chosen at random, what is the probability that the company monitors its employees electronically?
B) if the six major U.S. companies are chosen at random, find the probability that exactly 5 of them electronically monitor their employees? A national study found that 80% of major U.S. companies electronically monitor their employees.
A) If a major U.S. company is chosen at random, what is the probability that the company monitors its employees electronically?
B) if the six major U.S. companies are chosen at random, find the probability that exactly 5 of them electronically monitor their employees?
A) If a major U.S. company is chosen at random, what is the probability that the company monitors its employees electronically?
B) if the six major U.S. companies are chosen at random, find the probability that exactly 5 of them electronically monitor their employees?

Explanation / Answer

a)

As given,

P = 0.80 [ANSWER]

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b)

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    6      
p = the probability of a success =    0.8      
x = the number of successes =    5      
          
Thus, the probability is          
          
P (    5   ) =    0.393216 [ANSWER]

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