The delay (measured in milliseconds) for message to arrive to a destination, X, follows a Gaussian distribution, with mean ax = 250 milliseconds, and standard deviation oX 30 milliseconds. If the probability that a given message will take at least p milliseconds to arrive to a destination is 0.2033, The value of p is 0225.1 C0.83 0274.9 024.9 The following table shows some of the cdf values of the standardized Gaussian distribution, Gz(2).

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Probability and queuing theory
Time left 1:06:21
The delay (measured in milliseconds) for message to arrive to a destination, X, follows a Gaussian distribution,
with mean a x=250 milliseconds, and standard deviation ox =
30 milliseconds.
If the probability that a given message will take at least p milliseconds to arrive to a destination is 0.2033, The
value of p is
0225.1
C0.83
O274.9
024.9
The following table shows some of the cdf values of the standardized Gaussian distribution, Gz(2).
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0,09
0.0
0.5000 0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279 0.5319 0.5359
0.1
0.5398 0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5675 0.5714 0.5753
0.2 0.5793 0.5832 0.5871
0.5910 0.5948 0.5987
0.6026 0.6064 0.6103
0.6141
0.3
0.6179 0.6217
0.6255 0.6293 0.6331
0.6368 0.6406
0.6443 0.6480 0.6517
0.6664 0.6700 | 0.6736
0.6844
0.6879
0.4 0.6554 0.6591
0.6915 0.6950
0.6628
0.6772 0.6808
0.5
0.6985 0.70190.7051 0.70880.7123 0.7157 0.7190
0.7224
0.6
0.7257 0.7291
0.7324
0.7357
0.7389 0.7422 0.7454
0.7486 0.7517 0.7549
0.7580
0.7611
0.7642
0.7673|07704
7731
0.7764
0.77040 7823 |0 78A.
Transcribed Image Text:Time left 1:06:21 The delay (measured in milliseconds) for message to arrive to a destination, X, follows a Gaussian distribution, with mean a x=250 milliseconds, and standard deviation ox = 30 milliseconds. If the probability that a given message will take at least p milliseconds to arrive to a destination is 0.2033, The value of p is 0225.1 C0.83 O274.9 024.9 The following table shows some of the cdf values of the standardized Gaussian distribution, Gz(2). 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0,09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6664 0.6700 | 0.6736 0.6844 0.6879 0.4 0.6554 0.6591 0.6915 0.6950 0.6628 0.6772 0.6808 0.5 0.6985 0.70190.7051 0.70880.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7580 0.7611 0.7642 0.7673|07704 7731 0.7764 0.77040 7823 |0 78A.
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