a. What is the probability that all three orders will be filled correctly? The probability is .6885. (Round to four decimal places as needed.) b. What is the probability that none of the three orders will be filled correctly? The probability is
a. What is the probability that all three orders will be filled correctly? The probability is .6885. (Round to four decimal places as needed.) b. What is the probability that none of the three orders will be filled correctly? The probability is
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
What is the probability than none of the 3 orders will be filled correctly?

Transcribed Image Text:K
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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 .6885.
(Round to four decimal places as needed.)
b. What is the probability that none of the three orders will be filled correctly?
The probability is
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
Save
X P(X) P(SX) P(<X) P(>X) P(≥X)
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
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Incorr

Transcribed Image Text:van e
Variance
Standard Deviation
Binomial Probabilities Table
Data
Sample size
Probability of an event of interest
Probability of Correct Order at Restaurant C
Parameters
Mean
Variance
Standard Deviation
Binomial Probabilities Table
0.3213
0.5668
Print
X
P(X) P(≤X) P(<X) P(>X) P(≥X)
0 0.0018 0.0018 0.0000 0.9981 0.9999
1 0.0392 0.0410 0.0018 0.9589 0.9981
0.2821 0.3231 0.0410 0.6768 0.9589
2
3 0.6768 0.9999 0.3231 0.0000 0.6768
3
0.932
2.796
0.1901
0.4360
X P(X) P(≤X) P(<X) P(>X) P(≥X)
0 0.0003 0.0003 0.0000 0.9997 1.0000
0.0129 0.0132 0.0003 0.9868 0.9997
1
2 0.1772 0.1904 0.0132 0.8096 0.9868
3 0.8096 1.0000 0.1904 0.0000 0.8096
Done
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