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 5200 0 0 4 16 (ii) A reasonable estimate of p is 3/46 0.065. Explain where this number comes from.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
2 3
4
Number of flights
16
5200 0 0
(ii) A reasonable estimate of p is 3/46 0.065. Explain where this
number comes from.
Transcribed Image Text: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 2 3 4 Number of flights 16 5200 0 0 (ii) A reasonable estimate of p is 3/46 0.065. Explain where this number comes from.
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