Suppose that you and two friends go to a restaurant, which last month filled approximately 88.3% of the orders correctly. Complete parts (a) through (e) below. Click the icon to view the order-filling data for two other restaurants. a. What is the probability that all three orders will be filled correctly? The probability is (Round to four decimal places as needed.)

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Author:Erwin Kreyszig
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What is the probability that all 3 orders will be filled correctly?
Suppose that you and two friends go to a restaurant, which last month filled approximately 88.3% of the orders
correctly. Complete parts (a) through (e) below.
Click the icon to view the order-filling data for two other restaurants.
a. What is the probability that all three orders will be filled correctly?
The probability is.
(Round to four decimal places as needed.)
Restaurant Data
Probability of Correct Order at Restaurant B
Data
Sample size
Probability of an event of interest
Parameters
Mean
Variance
Standard Deviation
Binomial Probabilities Table
3
0.878
2.634
0.3213
0.5668
X P(X) P(≤X) P(<X) P(>X) P(2X)
0 0.0018 0.0018 0.0000 0.9981 0.9999
1 0.0392 0.0410 0.0018 0.9589 0.9981
2 0.2821 0.3231 0.0410 0.6768 0.9589
3 0.6768 0.9999 0.3231 0.0000 0.6768
-
X
er
Incorre
Transcribed Image Text:Suppose that you and two friends go to a restaurant, which last month filled approximately 88.3% of the orders correctly. Complete parts (a) through (e) below. Click the icon to view the order-filling data for two other restaurants. a. What is the probability that all three orders will be filled correctly? The probability is. (Round to four decimal places as needed.) Restaurant Data Probability of Correct Order at Restaurant B Data Sample size Probability of an event of interest Parameters Mean Variance Standard Deviation Binomial Probabilities Table 3 0.878 2.634 0.3213 0.5668 X P(X) P(≤X) P(<X) P(>X) P(2X) 0 0.0018 0.0018 0.0000 0.9981 0.9999 1 0.0392 0.0410 0.0018 0.9589 0.9981 2 0.2821 0.3231 0.0410 0.6768 0.9589 3 0.6768 0.9999 0.3231 0.0000 0.6768 - X er Incorre
Probability of Correct Order at Restaurant C
Data
Sample size
Probability of an event of interest
Parameters
Mean
Variance
Standard Deviation
Binomial Probabilities Table
1
0.0392 0.0410 0.0018 0.9589 0.9981
2 0.2821 0.3231 0.0410 0.6768 0.9589
3 0.6768 0.9999 0.3231 0.0000 0.6768
Print
3
0.932
2.796
0.1901
0.4360
X
P(X) P(SX) P(<X) P(>X) P(≥X)
0 0.0003 0.0003 0.0000 0.9997 1.0000
1
0.0129 0.0132 0.0003 0.9868 0.9997
2 0.1772 0.1904 0.0132 0.8096 0.9868
3 0.8096 1.0000 0.1904 0.0000 0.8096
Done
er
Transcribed Image Text:Probability of Correct Order at Restaurant C Data Sample size Probability of an event of interest Parameters Mean Variance Standard Deviation Binomial Probabilities Table 1 0.0392 0.0410 0.0018 0.9589 0.9981 2 0.2821 0.3231 0.0410 0.6768 0.9589 3 0.6768 0.9999 0.3231 0.0000 0.6768 Print 3 0.932 2.796 0.1901 0.4360 X P(X) P(SX) P(<X) P(>X) P(≥X) 0 0.0003 0.0003 0.0000 0.9997 1.0000 1 0.0129 0.0132 0.0003 0.9868 0.9997 2 0.1772 0.1904 0.0132 0.8096 0.9868 3 0.8096 1.0000 0.1904 0.0000 0.8096 Done er
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