Problem 3In Muscat city, there are two types of services at a gas station. The gas station has a singleregular lead-free pump with two hoses. In this context, A indicates the number of hoses beingutilized on the self-service station at a certain time and B indicates the number of hoses on thefull-service station utilizes at that time. The joint pmf of A and B i.e., fazAB) is shown below.В12A0.14 0.020.05 0.290.10 0.130.0910.050.13a. What is the probability that there is at most one self -service and at most one full-servicehose during this event?b. Give a word description of the event {A#1 and B#1}, compute the probability of thisevent.c. What is the probability that there is exactly one hose used in self-service during anevent?d. Compute the marginal pmf of A and of B. Using PA(A), what is P(A<=1)?Are A and B independent events? Explain.

According to the Bartleby guideline only three subparts of the question can be solved at one time,…

Problem 3 In Muscat city, there are two types of services at a gas station. The gas station has a single regular lead-free pump with two hoses. In this context, A indicates the number of hoses being utilized on the self-service station at a certain time and B indicates the number of hoses on the full-service station utilizes at that time. The joint pmf of A and B i.e., FAB(AB) is shown below. в о 1 2 A 0.14 0.02 0.09 1 0.05 0.29 0.05 2 0.10 0.13 0.13

Problem 3 In Muscat city, there are two types of services at a gas station. The gas station has a single regular lead-free pump with two hoses. In this context, A indicates the number of hoses being utilized on the self-service station at a certain time and B indicates the number of hoses on the full-service station utilizes at that time. The joint pmf of A and B i.e., FAB(AB) is shown below. в о 1 2 A 0.14 0.02 0.09 1 0.05 0.29 0.05 2 0.10 0.13 0.13

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...

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