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.)
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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the probability that all 3 orders will be filled correctly?

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

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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