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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
The Standard Deviation of a Discrete Random Variable
Busy Tellers Recall Example 5.20, where X denotes the number of tellers busy with customers at 1:00 P.M. Find the standard deviation of X.
Example 5.20Â The Mean of a Discrete Random Variable
Busy Tellers Prescott National Bank has six tellers available to serve customers. The number of tellers busy with customers at, say, 1:00 P.M. varies from day to day and depends on chance; hence it is a random variable, say, X. Past records indicate that the probability distribution of X is as shown in the first two columns of Table 5.15. Find the mean of the random variable X.
TABLE 5.15
Table for computing the mean of the random variable X, the number of tellers busy with customers
|
x |
P(X = x) |
xP(X = x) |
|
0 |
0.029 |
0.000 |
|
1 |
0.049 |
0.049 |
|
2 |
0.078 |
0.156 |
|
3 |
0.155 |
0.465 |
|
4 |
0.212 |
0.848 |
|
5 |
0.262 |
1.310 |
|
6 |
0.215 |
1.290 |
|
 |
 |
4.118 |
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