Answer:
a. 0.45 customers
b. 0.0145 hours
c. 1.05 customers
Step-by-step explanation:
Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."
λ = 72 customers per hours
μ = 120 customers per hours
a. Lq = λ²/ 2μ(μ-λ)
Lq = 72² / 2(120)(120-72)
Lq = 9/20
Lq = 0.45 customers
b. Ws = Wq + 1/μ = Lq/λ + 1/μ
Ws = 9/20 customers/72 customers + 1/120 customers
Ws = 0.0145 hours
c. Ls = Lq + r
Ls = 9/20 + 72/120
Ls = 1.05 customers
