The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval

Mean of 0.5

7-day week, so

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

In which

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times