The pmf for X = the number of major defects on a randomly selected appliance of a certain type in a production lot of 1000 is as follows. x 0 1 2 3 4 P(x) 0.1 0.18 0.25 0.2 0.27 Compute the following. (a) E(X) (b) E(x²) (c) V(X) directly from the definition

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The pmf for X = the number of major defects on a randomly selected appliance of a certain type in a production lot of 1000 is as follows.
x 0 1 2
3
4
P(x) 0.1 0.18 0.25 0.2 0.27
Compute the following.
(a) E(X)
(b) E(x²)
(c) V(X) directly from the definition
(d) the standard deviation of X
(e) V(X) using the shortcut formula
(f) the probability that X is within one standard deviation of its mean value
Transcribed Image Text:The pmf for X = the number of major defects on a randomly selected appliance of a certain type in a production lot of 1000 is as follows. x 0 1 2 3 4 P(x) 0.1 0.18 0.25 0.2 0.27 Compute the following. (a) E(X) (b) E(x²) (c) V(X) directly from the definition (d) the standard deviation of X (e) V(X) using the shortcut formula (f) the probability that X is within one standard deviation of its mean value
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