In 1986, the US Space Shuttle Challenger tragically exploded in flight. This accident was caused by the catastrophic failure of rubber 'O-ring' seals that linked segments of the rocket boosters together. There were six O-ring seals in Challenger (and all other Space Shuttles at the time). Table 1 shows the numbers of O-ring seal failures that had occurred on each of 23 previous Space Shuttle flights. Table 1 Number of O-ring seal failures Number of failed O-rings 0 1 2 3 456 Number of flights 16 5 20000
In 1986, the US Space Shuttle Challenger tragically exploded in flight. This accident was caused by the catastrophic failure of rubber 'O-ring' seals that linked segments of the rocket boosters together. There were six O-ring seals in Challenger (and all other Space Shuttles at the time). Table 1 shows the numbers of O-ring seal failures that had occurred on each of 23 previous Space Shuttle flights. Table 1 Number of O-ring seal failures Number of failed O-rings 0 1 2 3 456 Number of flights 16 5 20000
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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Part (v) please
Transcribed Image Text:(a) In 1986, the US Space Shuttle Challenger tragically exploded in flight.
This accident was caused by the catastrophic failure of rubber 'O-ring'
seals that linked segments of the rocket boosters together. There were
six O-ring seals in Challenger (and all other Space Shuttles at the
time). Table 1 shows the numbers of O-ring seal failures that had
occurred on each of 23 previous Space Shuttle flights.
Table 1 Number of O-ring seal failures
Number of failed O-rings 0 1 2 3 4 5 6
Number of flights
16 5 2 0 0
0
0
M
![(iv) Table containing
and C. d.f. (F(x)) is
X
0
1
2
3
4
5
6
p(x)
0.668143
0.278691
0.048436
0.004490
0.000234
0.000007
0.000000
both
F(x)
0.66814
0.94683
0.99527
0.99976
0.99999
1.00000
1.00000
the
as follows.
p.mit. (p(x))
(v) Use the information in Table 1 and the solution to part (a)(iv) to
complete the following table, giving your values rounded to three
decimal places.
Number of failed O-rings Observed proportion Probability
0
1
2
3
4
5
6
Comment briefly on how close the observed proportions of flights
on which 0, 1, 2, ..., 6 O-ring seals failed are to those predicted by
the binomial model. What does this suggest about the
appropriateness, or otherwise, of the binomial model?
11 V
[5]
(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac9dc76-28dc-4d11-9e57-18b906b03777%2Fd4ecc63e-1192-4e75-ae67-c5dbb4dceac5%2Ft17qed9q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(iv) Table containing
and C. d.f. (F(x)) is
X
0
1
2
3
4
5
6
p(x)
0.668143
0.278691
0.048436
0.004490
0.000234
0.000007
0.000000
both
F(x)
0.66814
0.94683
0.99527
0.99976
0.99999
1.00000
1.00000
the
as follows.
p.mit. (p(x))
(v) Use the information in Table 1 and the solution to part (a)(iv) to
complete the following table, giving your values rounded to three
decimal places.
Number of failed O-rings Observed proportion Probability
0
1
2
3
4
5
6
Comment briefly on how close the observed proportions of flights
on which 0, 1, 2, ..., 6 O-ring seals failed are to those predicted by
the binomial model. What does this suggest about the
appropriateness, or otherwise, of the binomial model?
11 V
[5]
(
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