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 Number of flights 1 2 3 4 5 6 16 2 0 0 0 0 iii) It is suggested that an appropriate model for the number of O-ring seals that fail on a particular flight might be a binomial distribution B(6, p). What assumptions are made by using this model? In your opinion, is a binomial model appropriate? Briefly justify your answer.

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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
Number of flights
1
2
3
4
16
5
2
0 0 0
(iii) It is suggested that an appropriate model for the number of O-ring
seals that fail on a particular flight might be a binomial
distribution B(6, p). W
model? In your opinion, is a binomial model appropriate? Briefly
assumptions are made by using this
justify your answer.
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 Number of flights 1 2 3 4 16 5 2 0 0 0 (iii) It is suggested that an appropriate model for the number of O-ring seals that fail on a particular flight might be a binomial distribution B(6, p). W model? In your opinion, is a binomial model appropriate? Briefly assumptions are made by using this justify your answer.
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