A supermarket has two customers waiting for their purchases at counter 1 and one customer waiting to pay at counter 2. Let X, and X2 denote the numbers of customers who spend more than RM50 on groceries at the respective counter. Suppose that X, and X2 are independent binomial random variables, with the probability that a customer at counter I will spend more than RM50 equal to 0.2 and the probability that a customer at counter 2 will spend more than RM50 equal to 0.3.

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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b)
Find the joint pmf of X, and X2 in tabular form.
c)
Find the marginal distribution of X, and X2 in tabular form.
Transcribed Image Text:b) Find the joint pmf of X, and X2 in tabular form. c) Find the marginal distribution of X, and X2 in tabular form.
QUESTION 1
A supermarket has two customers waiting for their purchases at counter 1 and one customer
waiting to pay at counter 2. Let X1 and X2 denote the numbers of customers who spend more
than RM50 on groceries at the respective counter. Suppose that X1 and X2 are independent
binomial random variables, with the probability that a customer at counter I will spend more than
RM50 equal to 0.2 and the probability that a customer at counter 2 will spend more than RM50
equal to 0.3.
Transcribed Image Text:QUESTION 1 A supermarket has two customers waiting for their purchases at counter 1 and one customer waiting to pay at counter 2. Let X1 and X2 denote the numbers of customers who spend more than RM50 on groceries at the respective counter. Suppose that X1 and X2 are independent binomial random variables, with the probability that a customer at counter I will spend more than RM50 equal to 0.2 and the probability that a customer at counter 2 will spend more than RM50 equal to 0.3.
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