NHS boss Sir David Nicholson has said "patient safety is top of the tree" and said the health service needs a "zero tolerance" of poor safety.
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Drivers in Scotland will be banned from smoking in cars where children are present from this week.
Motorists who cause death by speeding, street racing or while on a mobile phone are among those who could be handed tougher punishments.
Cubans have lined the streets since Thursday as the ashes of the Communist leader were driven on a 600-mile journey across the island.