Buoyancy aids in water sports are tested by adding increasing weights until they sink. A club has two sets of buoyancy aids. One set is two years old, and should support weights according to a normal distribution with mean 6 kg and standard deviation 0.6 kg; the other set is five years old and should support weights averaging 4.0 kg with a standard deviation of 1.0 kg. All the aids are tested and any which are unable to support at least 5 kg are thrown out If there are 24 two-year-old aids, how many are still usable?

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5. Buoyancy aids in water sports are tested by adding increasing weights until they sink. A club
has two sets of buoyancy aids. One set is two years old, and should support weights
according to a normal distribution with mean 6 kg and standard deviation 0.6 kg; the
other set is five years old and should support weights averaging 4.0 kg with a standard
deviation of 1.0 kg. All the aids are tested and any which are unable to support at least 5
kg are thrown out If there are 24 two-year-old aids, how many are still usable?
(A) 11
(B) 9
(C) 18
(D) 20
Transcribed Image Text:5. Buoyancy aids in water sports are tested by adding increasing weights until they sink. A club has two sets of buoyancy aids. One set is two years old, and should support weights according to a normal distribution with mean 6 kg and standard deviation 0.6 kg; the other set is five years old and should support weights averaging 4.0 kg with a standard deviation of 1.0 kg. All the aids are tested and any which are unable to support at least 5 kg are thrown out If there are 24 two-year-old aids, how many are still usable? (A) 11 (B) 9 (C) 18 (D) 20
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