Question
In: Statistics and Probability
2. A group of 24 physical doctors from three countries consists of 7 Americans, 8 British...
2. A group of 24 physical doctors from three countries consists of 7 Americans, 8 British and 9 Chinese. They (wearing masks) are seated at random around a (large enough) table to discuss the means of treatment of COVID-19 patients. Compute the following probabilities:
(a) that all the Americans sit together; (b) that all the Americans and the British sit together; (c) that all the Americans, all the British and all the Chinese sit together.
(d) Randomly choose 6 doctors from the group of doctors in the above question to evaluate the efficiency of one type of treatment of COVID-19. It is unfair if all of the 6 doctors are from the same country. What is the probability that the selection is fair?
Solutions
orchestra answered 1 year agoRelated Solutions
A special committee of five professionals is formed from a group of four lawyers, three doctors...
A special committee of five professionals is formed from a group
of four lawyers, three doctors and three teachers. At least three
lawyers are needed in the special committee. Define X as the number
of teachers in the special committee.
a) Construct the probability distribution of the random variable
X.
b) Calculate the expected of X and provide an interpretation of
it.
c) Calculate the standard deviation of X
identify three countries from this group that are likely to have different reasons for not permitting...
identify three countries from this group that are
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A group of 9 friends includes 4 Americans, 2 Canadians, and 3 Italians. Three friends are...
A group of 9 friends includes 4 Americans, 2 Canadians, and 3
Italians. Three friends are to be selected at random for a trip.
Let X denote the number of Americans and Y be the number of
Canadians selected at random among the three friends selected for a
trip.
1) Find the joint probability density function of the random
variables X and Y and the marginal density functions.
2) Find Cov(2X-1, -Y+1).
Consider the data. xi 2 6 9 13 20 yi 7 19 8 24 22 (a)...
Consider the data.
xi
2
6
9
13
20
yi
7
19
8
24
22
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β1 ≠ 0
Ha: β1 = 0
H0: β1 ≥ 0
Ha: β1 <
0
H0: β1 = 0
Ha: β1 ≠ 0
H0:...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5,
6, 7, 8 & 9). No number can be repeated. How many different
three-digit numbers are possible if 1 and 2 will not be chosen
together?
Select one:
a. 462
b. 336
c. 672
d. 210
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5,
6, 7, 8 & 9). No number can be repeated. How many different
three-digit numbers are possible if 1 and 2 will not be chosen
together? a. 462 b. 210 c. 672 d. 336
The inflation rates in the British pound and the Australian dollar are 2% and 8% respectively....
The inflation rates in the British pound and the Australian
dollar are 2% and 8% respectively. What should the Sex /Forward ER
be, if the Spot ER is BP/ A$ .1? Describe the concept of purchasing
power.
Examine the three samples obtained independently from three populations: Population Data Item Group 1 Group 2...
Examine the three samples obtained independently from three
populations:
Population Data
Item
Group 1
Group 2
Group 3
1
14
17
17
2
13
16
14
3
12
16
15
4
15
18
16
5
16
14
6
16
Conduct a one-way analysis of variance on the data assuming the
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and...
7. According to the market research firm NPD Group, Americans ate an average of 211 meals...
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ate an average of 211 meals in restaurants in 2001. The following
data show the number of meals eaten in restaurants as determined
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79, 180, 313, 57, 200, 161, 320, 90, 224, 266, 284, 231, 322, 200,
173. Using ? = .05, test the hypothesis that the number of meals
eaten at restaurants by Americans has not...
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Consider the following terms from chapter 7, 8 and 9. Select
three of the items and briefly describe in your terms and give a
practical example:
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2. Poka Yoke
3. Yield Management
4. Time Fence
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