(solution) A certain component in a rocket engine fails 5% of the time ,"hen the engine is fired. To…

(solution) A certain component in a rocket engine fails 5% of the time ,"hen the engine is fired. To…

A certain component in a rocket engine fails 5% of the time ,”hen the engine is fired. To achieve greater reliability in the engine working, this component is duplicated n times. The engine then fails only if all of these n components fail. Assume the component failures are independent of each other. What is the smallest value of n that can be used to guarantee that the engine works 99% of the time ?