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 Bie., f(A,B) is shown below. 0.14 0.02 0.05 0.29 0.10 0.13 0. 0.09 0.05 0.13 d. Compute the marginal pmf of A and of B. Using PA(A), what is P(A<=1)? e. Are A and B independent events? Explain.

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Chapter1: Combinatorial Analysis
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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 Bie., fLE A,B) Is showWn below.
0.
1
A.
0.14 0.02
0.05 0.29
0.10 0.13
0.09
0.05
0.13
0.
1.
2,
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
e.
Transcribed Image Text:Q3 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 Bie., fLE A,B) Is showWn below. 0. 1 A. 0.14 0.02 0.05 0.29 0.10 0.13 0.09 0.05 0.13 0. 1. 2, 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 e.
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