Answer:
5. Po= 0.36
6. Pn = 0.04
7. 0.16
8. 1.11
9. 1.75
10. 9.9
Explanation:
5. Computation for the probability that April will not be working with a customer
Using this formula
Po=1-(Average number of arrival per hour/Average number of customer served per hour)
Let plug in the formula
Po= 1-(7/11 )
Po=1-0.64
Po= 0.36
Therefore the probability that April will not be working with a customer will be 0.36
6. Calculation for the probability of 5 customers in the system
Using this formula
Pn= (Average number of arrival per hour/Average number of customer served per hour)* Po
Let plug in the formula
Pn= (7/11)^5* 0.36
Pn=0.104358*0.36
Pn=0.037
Pn = 0.04 (Approximately)
Therefore the probability of 5 customers in the system will be 0.04
7. Calculation for the average time a customer spends waiting in line
Time spend Waiting in line=7^2/11(11 – 7) /7
Time spend Waiting in line=(49/44)/7
Time spend Waiting in line = 1.11/7
Time spend Waiting in line= 0.16
Therefore the average time a customer spends waiting in line will be 0.16
8. Calculation for the average number of customers waiting in line
Customers waiting in line = 7^2/11(11 – 7)
Customers waiting in line=49/44
Customers waiting in line= 1.11
Therefore the average number of customers waiting in line will be 1.11
9. Calculation for the average number of customers in the system
Average customers in the system= 1.11 +(7/11)
Average customers in the system= 1.11 +0.64
Average customers in the system = 1.75
Therefore the average number of customers in the system will be 1.75
10. Calculation for the arrival rate in order for April to stay that busy
Arrival rate = 0.9 * 11
Arrival rate = 9.9
Therefore the arrival rate in order for April to stay that busy will be 9.9
