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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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What is the probability than none of the 3 orders will be filled correctly?
K
View an e
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
- х
er
Incorr
Transcribed Image Text:K View an e 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 - х er Incorr
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
er
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 er
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