6. A residential UPS customer receives either 1, 2, 3 or 4 packages in a single shipment. 40% receive a single package, 30% receive 2, 20% receive 3 and 10% receive 4. Let X1 and X2 denote the number of packages received by each of two randomly selected residential customers. a) What is the value of the population mean, µ? b) What is the value of the population standard deviation, ơ? c) Determine the distribution of X, the average number received by two random customers. di Determine E(8)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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6. A residential UPS customer receives either 1, 2, 3 or 4 packages in a single shipment. 40%
receive a single package, 30% receive 2, 20% receive 3 and 10% receive 4. Let X, and X, denote
the number of packages received by each of two randomly selected residential customers.
a) What is the value of the population mean, u?
b) What is the value of the population standard deviation, o?
c) Determine the distribution of X, the average number received by two random customers.
d) Determine E(X)
e) Determine the distribution of the two-customer sample variance S?
f) Determine E(s²)
Transcribed Image Text:6. A residential UPS customer receives either 1, 2, 3 or 4 packages in a single shipment. 40% receive a single package, 30% receive 2, 20% receive 3 and 10% receive 4. Let X, and X, denote the number of packages received by each of two randomly selected residential customers. a) What is the value of the population mean, u? b) What is the value of the population standard deviation, o? c) Determine the distribution of X, the average number received by two random customers. d) Determine E(X) e) Determine the distribution of the two-customer sample variance S? f) Determine E(s²)
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