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.\[\begin{array}{c|ccc}p(x,y) & y = 0 & y = 1 & y = 2 \\\hlinex = 0 & 0.10 & 0.03 & 0.02 \\x = 1 & 0.07 & 0.20 & 0.07 \\x = 2 & 0.06 & 0.14 & 0.31 \\\end{array}\](a) Given that \( X = 1 \), determine the conditional pmf of \( Y \)—i.e., \( P(Y = 0 | X = 1) \), \( P(Y = 1 | X = 1) \), \( P(Y = 2 | X = 1) \). (Round your answers to four decimal places.)- \( P(Y = 0 | X = 1) \) = [ ]- \( P(Y = 1 | X = 1) \) = [ ]- \( P(Y = 2 | X = 1) \) = [ ](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.)\[\begin{array}{c|ccc}y & 0 & 1 & 2 \\\hlineP(Y = y | X = 2) & & & \\\end{array}\](c) Use the result of part (b) to calculate the conditional probability \( P(Y \leq 1 | X = 2) \). (Round your answer to four decimal places.)- \( P(Y \leq 1 | X = 2) \) = [ ](d) Given that two hoses are in use at the full-service island, what is the conditional pm

I solved exactly first three subparts because of bartleby policy if you want more please uplode…

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 Xa appears in the accompanying tabulation. P(x. Y) 1 2 0.10 0.03 0.02 1 0.07 0.20 0.07 0.06 0.14 0.31 (a) Given that X- 1, determine the conditional pmf of Y-L.e., PYx(011), PYx(1|1), PYLX(2|1). (Round your answers to four decimal places.) 2 (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.) PYxV12) (c) Use the result of part (b) to calculate the conditional probability P(Y S1|X- 2). (Round your answer to four decimal places.) P(Y S1|X- 2) -

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 Xa appears in the accompanying tabulation. P(x. Y) 1 2 0.10 0.03 0.02 1 0.07 0.20 0.07 0.06 0.14 0.31 (a) Given that X- 1, determine the conditional pmf of Y-L.e., PYx(011), PYx(1|1), PYLX(2|1). (Round your answers to four decimal places.) 2 (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.) PYxV12) (c) Use the result of part (b) to calculate the conditional probability P(Y S1|X- 2). (Round your answer to four decimal places.) P(Y S1|X- 2) -

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A function is given. f(x) = 7x − 9; x = 2, x = 3

A: topic- functions

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Therefore, based on the logical progression of increasing dosages leading to greater observable…

Q: Given m|n, find the value of x. (x-3)⁰ (4x+3)

Q: iven that E(X) = 5, E(Y) = 8, E(X2) = 68, E(Y2) = 75 and rx,y = .35, find the followings. g. Find…

Q: Find f such that the given conditions are satisfied. f primef′(x)equals=xminus−55, …

Q: Find fogoh. f(x) = g(x) = x³, h(x) = x + 5

A: Given, fx=1x , gx=x3 , hx=x+5

Q: Find the x and y coordinates of all inflection points. f(x)=x³ +45x2

A: given function

Q: The functions f, g and h are defined by and f(x) g(x) = 2-1 I 3x - 1 2 h(x) =³/4 respectively (1.1)…

A: The given function are, fx=x-3x-12-1 gx=1x-4 hx=3x We have to find the domain of the each function.

Q: When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume…

A: The sample space for genders is These four outcomes are equally likely.

Q: 6x r(x) = бх — б x + 2

Q: 5. Let the cost to produce x Items be C (x) = 2x² + 1000. a. Find and simplify C(x + h). b. Find and…

Q: V5. 1 Determine the value of x using the diagram provided.

Q: Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear…

A: Given p(x)=x^3+2x^2+4x+8.

Q: Let f(x) = 3x – 1, and g(x) = 64x3 – 27. Find (fog)(x). a. 192x3 – 28…

Q: Find the value(s) of x for whichf(x) =g (x). Ax) = x² + x– 13 g(x) =-5x + 3

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: If P(x) = x +x+ 4, find P(8). P(8) =D

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: %3D Find the coordinates of the hole, if any, of h(x) = x²-2x'

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Question

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.

\[
\begin{array}{c|ccc}
p(x,y) & y = 0 & y = 1 & y = 2 \\
\hline
x = 0 & 0.10 & 0.03 & 0.02 \\
x = 1 & 0.07 & 0.20 & 0.07 \\
x = 2 & 0.06 & 0.14 & 0.31 \\
\end{array}
\]

(a) Given that \( X = 1 \), determine the conditional pmf of \( Y \)—i.e., \( P(Y = 0 | X = 1) \), \( P(Y = 1 | X = 1) \), \( P(Y = 2 | X = 1) \). (Round your answers to four decimal places.)

- \( P(Y = 0 | X = 1) \) = [ ]
- \( P(Y = 1 | X = 1) \) = [ ]
- \( P(Y = 2 | X = 1) \) = [ ]

(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.)

\[
\begin{array}{c|ccc}
y & 0 & 1 & 2 \\
\hline
P(Y = y | X = 2) & & & \\
\end{array}
\]

(c) Use the result of part (b) to calculate the conditional probability \( P(Y \leq 1 | X = 2) \). (Round your answer to four decimal places.)

- \( P(Y \leq 1 | X = 2) \) = [ ]

(d) Given that two hoses are in use at the full-service island, what is the conditional pm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given a M(x)=x+x³+x and G(x)=x³+x?. Find its Code Word.
determine L−1[F].
Find the domain of the composite function fog. f(x)%3D2× + 6; g(x) = x Oulxz-3} Oulx z0} Oxlxis any real number)
units down. Question(2 ): Find domain: S(x) - B-x/ f(x): x - 5
Choose correct answer on each problem