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An electric company has to track on-time payments and late payments for each customer monthly. It is impossible for a customer to pay on-time and late each month. If the probability that a customer pays on-time each month is 0.55, and the probability that a customer pays late or on-time each month is 0.82, what is the probability that a customer pays late each month

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Answer:

The  probability that a customer pays late each month is    P(B)  =  0.27

Step-by-step explanation:

Let     P( A ) be the probability that the customer pays on time and the value is  0.55

Let  P( B )  be the  probability that a customer pays late each month

So

  The probability that a customer pays late or on-time each month  is  P(A u B) and  the value is  0.82

The probability that a customer pays on-time and late each month is  P(A n B) and  the value is  zero ( 0 ) given that it is impossible

   Now The probability that a customer pays late or on-time each month  is mathematically represented as

      P(A u B)  =  P(A) +  P(B)  -   P(A n B)

=>     0.82  =  0.55 + P( B ) -   0

=>    P(B)  =  0.27

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