Answer:
(a) Average number expected = 13.07 people
(b) Average number of persons = 14 persons
(c) Average amount of time = 0.9333 hours
(d) Time taken = 1 hour
Step-by-step explanation:
We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,
Arrival rate = λ = 14
Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,
Service rate = μ = 15
(a) Average number in line = (λ^2) / μ(μ - λ)
= (14^2) / 15(15 - 14)
= 13.07
(b) Average number in system = λ / (μ - λ)
= 14 / (15 - 14)
= 14
(c) Average waiting time = Average number in line / λ
= 13.07 / 14
= 0.9333
(d) Average total time = Average number in system / λ
= 14 / 14
= 1
Answer: x =2
Step-by-step explanation:
5x - 8 = 3x - 4
2x = 4
x = 2
checking the work:
5(2) - 8 = 3(2) - 4
10 - 8 = 6 - 4
2 = 2
The difference in the distances that the two birds traveled is 56 miles
To find the difference between the flying the birds had, subtract
112 - 56 = 56 miles