12:10 14 Google Drive - online backup Open in the Drive app OPEN PDF SESH2060 ...cklog.pdf M Q-5 Calculate the sample correlation of the following data [05] 3 1/3 10 14 11 12 9 Я 18 17 23 19 20 15 SECTION- Q-1 How many ways can three items be selected from a group of six items? Use the [05] 5 letters A, B, C, D, E, and F to identify the items, and list each of the different combinations of three items. Q-2 Consider the experiment of tossing a coin three times. (a) Develop a tree diagram for the experiment. (b) List the experimental outcomes. What is the probability for each experimental outcome? 1/6 105) 5 2/3/6 Q-3 (c) Suppose that we have two events, A and B, with P(A)=0.50. P(B)=0.60, and [05] 5 2/3/6 P(AB)=0.40. Q-3 (a) Find P(A|B). (b) Find P(BIA). (c) Are A and B independent? Why or why not? OR The prior probabilities for events A, and A, are P(A)=0.40 and P(A2)= 0.60. It is also known that P(A, A₂) 0. Suppose that P(BIA) 0.20 and P(BIA)=0.05. (a) Are A1 and A2 mutually exclusive? Explain. (b) Compute P(A 1 n B) and P(A 2 n B). (c) Compute P(B). (d) Apply Bayes' theorem to compute P(A.1 | B) and P(A_2|B). Q-4 AA [05] 5 2/3/6 Military radar and missile detection systems are designed to warn a country of [10] 5 1/2/6 an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a 0.90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) (b) (c) What is the probability that a single detection system will detect an attack? If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? If three systems are installed, what is the probability that at least one of the systems will detect the attack? Page 2 / 3 (d) Would you recommend the mumpre detection systems be used? Explain. drive.google.com M B Page 2 of 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
12:10
14
Google Drive - online backup
Open in the Drive app
OPEN
PDF SESH2060 ...cklog.pdf
M
Q-5
Calculate the sample correlation of the following data
[05] 3 1/3
10
14
11
12
9
Я
18
17
23
19
20
15
SECTION-
Q-1
How many ways can three items be selected from a group of six items? Use the [05] 5
letters A, B, C, D, E, and F to identify the items, and list each of the different
combinations of three items.
Q-2
Consider the experiment of tossing a coin three times.
(a)
Develop a tree diagram for the experiment.
(b)
List the experimental outcomes.
What is the probability for each experimental outcome?
1/6
105) 5 2/3/6
Q-3
(c)
Suppose that we have two events, A and B, with P(A)=0.50. P(B)=0.60, and [05] 5 2/3/6
P(AB)=0.40.
Q-3
(a)
Find P(A|B).
(b)
Find P(BIA).
(c)
Are A and B independent? Why or why not?
OR
The prior probabilities for events A, and A, are P(A)=0.40 and P(A2)=
0.60. It is also known that P(A, A₂) 0. Suppose that P(BIA) 0.20 and
P(BIA)=0.05.
(a)
Are A1 and A2 mutually exclusive? Explain.
(b)
Compute P(A 1 n B) and P(A 2 n B).
(c)
Compute P(B).
(d)
Apply Bayes' theorem to compute P(A.1 | B) and P(A_2|B).
Q-4
AA
[05] 5 2/3/6
Military radar and missile detection systems are designed to warn a country of [10] 5 1/2/6
an enemy attack. A reliability question is whether a detection system will be
able to identify an attack and issue a warning. Assume that a particular
detection system has a 0.90 probability of detecting a missile attack. Use the
binomial probability distribution to answer the following questions.
(a)
(b)
(c)
What is the probability that a single detection system will detect an
attack?
If two detection systems are installed in the same area and operate
independently, what is the probability that at least one of the
systems will detect the attack?
If three systems are installed, what is the probability that at least one
of the systems will detect the attack?
Page 2 / 3
(d) Would you recommend the mumpre detection systems be used?
Explain.
drive.google.com
M
B
Page 2 of 3
Transcribed Image Text:12:10 14 Google Drive - online backup Open in the Drive app OPEN PDF SESH2060 ...cklog.pdf M Q-5 Calculate the sample correlation of the following data [05] 3 1/3 10 14 11 12 9 Я 18 17 23 19 20 15 SECTION- Q-1 How many ways can three items be selected from a group of six items? Use the [05] 5 letters A, B, C, D, E, and F to identify the items, and list each of the different combinations of three items. Q-2 Consider the experiment of tossing a coin three times. (a) Develop a tree diagram for the experiment. (b) List the experimental outcomes. What is the probability for each experimental outcome? 1/6 105) 5 2/3/6 Q-3 (c) Suppose that we have two events, A and B, with P(A)=0.50. P(B)=0.60, and [05] 5 2/3/6 P(AB)=0.40. Q-3 (a) Find P(A|B). (b) Find P(BIA). (c) Are A and B independent? Why or why not? OR The prior probabilities for events A, and A, are P(A)=0.40 and P(A2)= 0.60. It is also known that P(A, A₂) 0. Suppose that P(BIA) 0.20 and P(BIA)=0.05. (a) Are A1 and A2 mutually exclusive? Explain. (b) Compute P(A 1 n B) and P(A 2 n B). (c) Compute P(B). (d) Apply Bayes' theorem to compute P(A.1 | B) and P(A_2|B). Q-4 AA [05] 5 2/3/6 Military radar and missile detection systems are designed to warn a country of [10] 5 1/2/6 an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a 0.90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) (b) (c) What is the probability that a single detection system will detect an attack? If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? If three systems are installed, what is the probability that at least one of the systems will detect the attack? Page 2 / 3 (d) Would you recommend the mumpre detection systems be used? Explain. drive.google.com M B Page 2 of 3
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