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) 1 2 0 0.10 0.03 0.01 1 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y 1)? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X s1 and Y s 1). P(X s1 and Y s 1) = 0.39 (c) Give a word description of the event {X = 0 and Y = 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. O At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y 0) =

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) 1 2 0 0.10 0.03 0.01 1 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y 1)? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X s1 and Y s 1). P(X s1 and Y s 1) = 0.39 (c) Give a word description of the event {X = 0 and Y = 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. O At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y 0) =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

It did not answer the questions since it was asking What is the probability that Bill was accepted at College Y given that he was accepted at College X?
There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.
The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.
If the probability of one event occurring is 1/4 and the probability of another event occurring is 1/10, what is the probability that both events will occur?
A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9, respectively. What is the probability that he will pass both courses if the probability of passing at least one course is 4/5.
I need the answer as soon as possible
please only part b,c & d.
At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of coming 2nd and a probability of ¼ in coming 3rd. First place pays $5,000 to the winner, second place $4,000 and third place $1,350. Hence, is it worth entering the race if it costs $1050?
Johnny plans to go biking or hiking over the weekend. The probability that he does at least one of these is 0.70 while the probability that he does both is only 0.50. If Johnny is equally likely to go biking as to go hiking, what is the probability that he goes biking but not hiking?
Hi! I pretty much don't understand this problem that was presented on my Statistics class
A problem in statistics is given to three students A, B andC whose enhances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved ?
Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?