Question 3 Winston 2027 An average of 12 jobs per hour arri

Question 3. [Winston - 20.2.7] An average of 12 jobs per hour arrive at our departmental printer.

(a) Use exponential distribution to determine the probability that no job will arrive during the next 15 minutes.

(b) Use Poisson distribution to determine the probability that no job will arrive during the next 15 minutes.

(c) What is the probability that 5 or fewer jobs will arrive during the next 30 minutes?

Solution

a) P(x<0)=0.9166

b)P(x=0)=0.9200

we find the above values using excel

c) here time is 30 mintues, so lamda=6

P(x<=5)=0.5654, this is calcuated usi the exponential distribution.