2. + -/10 points DevoreStat95·E.018 My Notes Ask Your Teacher A service station

Question

2. + -/10 points DevoreStat95·E.018 My Notes Ask Your Teacher A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation p(x, y) 2 0 0.10 0.05 0.02 1 0.06 0.20 0.07 2 0.06 4 0.30 (a) Given that X -1, determine the conditional pmf of Y.e., pyx(1), pyx1),21) (Round your answers to four decimal places.) Pyxi1) (b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.) Pyx12)

Explanation / Answer

We are given the joint pmf

a)

We are given x=1 so focus on the row where x=1

We are asked 4 decimal places

hence

b)

We are given X=2

c) We need to find P(Y<=1/X=2)

So now focus on Y<=1

ie Y=0+Y=1 satisfy the above condition

We have

So now add 0.0600+0.1400=0.2000

d)

Here we are given Y=2

Y 0 1 2 P(Y/1) 0.0600 0.2000 0.0700

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.