A new trainee pharmacist has an error rate of 0.19. Find the expected number of prescriptions until the first dispensing error, the median number of prescriptions until the first dispensing error, and the probability that the first dispensing error occurs among the first three prescriptions. a) what is the expected number? b) what is the probability that the first error is among the first thirteen descriptions?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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A new trainee pharmacist has an error rate of 0.19. Find the expected number of prescriptions until the first dispensing error, the median number of prescriptions until the first dispensing error, and the probability that the first dispensing error occurs among the first three prescriptions. a) what is the expected number? b) what is the probability that the first error is among the first thirteen descriptions?
J
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TU
A
18
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222222
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30
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1
2
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0.09
P(X <= x) P(X = x)
0.0900
0.1719
0.2464
0.3143
0.3760
0.4321
0.4832
0.5297
0.5721
0.6106
0.6456
0.6775
0.7065
0.7330
0.7570
0.7789
0.7988
0.8169
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B
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р
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10
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0.8334
0.8484
0.8620
0.8744
0.8857
0.8960
0.9054
0.9139
0.9216
0.9287
0.9351
0.0900
0.0819
0.0745
0.0678
0.0617
0.0562
0.0511
0.0465
0.0423
0.0385
0.0350
0.0319
0.0290
0.0264
0.0240
0.0219
0.0199
0.0181
0.0165
0.0150
0.0136
0.0124
0.0113
0.0103
0.0094
0.0085
0.0078
0.0071
0.0064
Transcribed Image Text:J 2 3 4 5 6 7 8 X 9 10 11 12 13 14 15 16 17 TU A 18 19 20 222222 23 24 26 30 31 1 2 3 4 0.09 P(X <= x) P(X = x) 0.0900 0.1719 0.2464 0.3143 0.3760 0.4321 0.4832 0.5297 0.5721 0.6106 0.6456 0.6775 0.7065 0.7330 0.7570 0.7789 0.7988 0.8169 5 6 7 B 8 р 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 0.8334 0.8484 0.8620 0.8744 0.8857 0.8960 0.9054 0.9139 0.9216 0.9287 0.9351 0.0900 0.0819 0.0745 0.0678 0.0617 0.0562 0.0511 0.0465 0.0423 0.0385 0.0350 0.0319 0.0290 0.0264 0.0240 0.0219 0.0199 0.0181 0.0165 0.0150 0.0136 0.0124 0.0113 0.0103 0.0094 0.0085 0.0078 0.0071 0.0064
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222222
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****
31
1
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0.09
P(X <= x) P(X = x)
0.0900
0.1719
0.2464
0.3143
0.3760
0.4321
0.4832
0.5297
0.5721
0.6106
0.6456
0.6775
0.7065
0.7330
0.7570
0.7789
0.7988
0.8169
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B
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р
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0.8334
0.8484
0.8620
0.8744
0.8857
0.8960
0.9054
0.9139
0.9216
0.9287
0.9351
0.0900
0.0819
0.0745
0.0678
0.0617
0.0562
0.0511
0.0465
0.0423
0.0385
0.0350
0.0319
0.0290
0.0264
0.0240
0.0219
0.0199
0.0181
0.0165
0.0150
0.0136
0.0124
0.0113
0.0103
0.0094
0.0085
0.0078
0.0071
0.0064
Transcribed Image Text:J 2 3 4 5 6 7 8 X 9 10 11 12 13 14 15 16 17 A 18 11 19 20 222222 23 24 26 28 **** 31 1 2 3 4 0.09 P(X <= x) P(X = x) 0.0900 0.1719 0.2464 0.3143 0.3760 0.4321 0.4832 0.5297 0.5721 0.6106 0.6456 0.6775 0.7065 0.7330 0.7570 0.7789 0.7988 0.8169 5 6 7 B 8 р 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 0.8334 0.8484 0.8620 0.8744 0.8857 0.8960 0.9054 0.9139 0.9216 0.9287 0.9351 0.0900 0.0819 0.0745 0.0678 0.0617 0.0562 0.0511 0.0465 0.0423 0.0385 0.0350 0.0319 0.0290 0.0264 0.0240 0.0219 0.0199 0.0181 0.0165 0.0150 0.0136 0.0124 0.0113 0.0103 0.0094 0.0085 0.0078 0.0071 0.0064
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