A service station has both self-service and full-service islands. On each island, there is a single...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
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. y p(x, y) 0 1 2 0 0.10 0.05 0.02 X 1 0.06 0.20 0.07 2 0.05 0.14 0.31 (a) What is P(X = 1 and Y = 1)? P(X 1 and Y = 1) = (b) Compute P(X 1 and Y 1). P(X 1 and Y 1) = (c) Give a word description of the event {X # 0 and Y # 0}. At most one hose is in use at both islands. One hose is in use on both islands. One hose is in use on one island. At least one hose is in use at both islands. Compute the probability of this event. P(X 0 and Y = 0) = (d) Compute the marginal pmf of X. X 0 Px(x) Compute the marginal pmf of Y. y 0 1 2 1 2 PY(y) Using Px(x), what is P(X 1)? P(X 1) = (e) Are X and Y independent rv's? Explain. X and Y are independent because P(x,y) = px(x) Py(y). X and Y are not independent because P(x,y) + px(x) Py(y). OX and Y are not independent because P(x,y) = Px(x) Py(y). OX and Y are independent because P(x,y) = Px(x) Py(y). 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. y p(x, y) 0 1 2 0 0.10 0.05 0.02 X 1 0.06 0.20 0.07 2 0.05 0.14 0.31 (a) What is P(X = 1 and Y = 1)? P(X 1 and Y = 1) = (b) Compute P(X 1 and Y 1). P(X 1 and Y 1) = (c) Give a word description of the event {X # 0 and Y # 0}. At most one hose is in use at both islands. One hose is in use on both islands. One hose is in use on one island. At least one hose is in use at both islands. Compute the probability of this event. P(X 0 and Y = 0) = (d) Compute the marginal pmf of X. X 0 Px(x) Compute the marginal pmf of Y. y 0 1 2 1 2 PY(y) Using Px(x), what is P(X 1)? P(X 1) = (e) Are X and Y independent rv's? Explain. X and Y are independent because P(x,y) = px(x) Py(y). X and Y are not independent because P(x,y) + px(x) Py(y). OX and Y are not independent because P(x,y) = Px(x) Py(y). OX and Y are independent because P(x,y) = Px(x) Py(y).
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Hines stored her furniture, including a grand piano, in Arnetts warehouse. Needing more space, Arnett stored Hiness piano in Butlers warehouse next door. As a result of a fire, which occurred without...
-
Crystal City established a capital projects fund to account for the construction of a new bridge. During the year the fund was established, the city issued bonds, signed (and encumbered) $6 million...
-
Refer to Data Set 32 "Airport Data Speeds" and construct a 95% confidence interval estimate of the mean speed for Sprint, then do the same for T-Mobile. Compare the results.
-
The following analysis of selected data is for each of the two services Gates Corporation provides. In the Gates operation, labor capacity is the companys constraining resource. Each unit of A...
-
Using appropriate tables, solve the following future value of annuity problems: Required 1. What is the future value on December 31, 2013 of seven cash flows of $10,000, with the first cash payment...
-
n = 28.3 ft cos (390) = 32 n 39 22ft C 37 22ft
-
Assume Watertown Company, a camera store, lost some inventory in a re on March 15. To le an insurance claim, Watertown Company must estimate its March 15 inventory by the gross prot method. Assume...
-
Before the widespread use of computers, and in some small practices today, office finances were monitored with a system called the "pegboard". The pegboard, or write-it-once, bookkeeping system uses...
-
Gaming entertainment is comprised of many different revenue centers. Today's casino resort is much like a "hospitality buffet" luxurious lodging, world class dining, Broadway quality shows, rock star...
-
You are an audit senior at a reputable audit firm, and you have been assigned to plan the audit engagement for "RetailSmart Ltd.," a mid-sized retail company with multiple locations. RetailSmart Ltd....
-
Assume that your company is planning to implement a new information system to improve its operations. For this purpose, the company top management is evaluating two information systems project...
-
In March, 2024, a mining company purchased a coal mine for $8,000,000. Removable coal is estimated at 1,500,000 tons. The company is required to restore the land at an estimated cost of $960,000;...
-
Which of the following statements is false? OA. Because expected returns are not easy to estimate, each portfolio that is added to a multifactor model increases the difficulty of implementing the...
-
You have just begun your summer internship at Omni Instruments. The company supplies sterilized surgical instruments for physicians. To expand sales, Omni is considering paying a commission to its...
Study smarter with the SolutionInn App