a. What is P(X= 1 and Y= 1)? b. Compute P(X<= 1 and Y<= 1). c. Compute the marginal pmf of X and of Y. Using px(x), what is P(X<= 1)?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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c. Let A denote the event that there are at least two more customers in one line than in the other
line. Express A in terms of X1 and X2, and calculate the probability of this event.
Teia
d. What is the probability that the total number of customers in the two lines is exactly four? At
least four?
Problem 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 X and Y appears in the accompanying tabulation.
Y
1
p(x, y)
.10
.04
.02
.08
.20
.06
1
.14
.30
.06
a. What is P(X= 1 and Y= 1)?
b. Compute P(X<=1 and Y<= 1).
c. Compute the marginal pmf of X and of Y. Using px(x), what is P(X <= 1)?
Transcribed Image Text:Heading 1 Heading 2 c. Let A denote the event that there are at least two more customers in one line than in the other line. Express A in terms of X1 and X2, and calculate the probability of this event. Teia d. What is the probability that the total number of customers in the two lines is exactly four? At least four? Problem 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 X and Y appears in the accompanying tabulation. Y 1 p(x, y) .10 .04 .02 .08 .20 .06 1 .14 .30 .06 a. What is P(X= 1 and Y= 1)? b. Compute P(X<=1 and Y<= 1). c. Compute the marginal pmf of X and of Y. Using px(x), what is P(X <= 1)?
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