The lifetime, in years, of a type of small electric motor operating under adverse conditions is T ~ Γ(6, 3.6). Whenever the motor fails, it is replaced with another of the same type. Find the probability that fewer than 6 motors fail within one year.

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4. The lifetime, in years, of a type of small electric motor operating under adverse conditions is T ~
Γ(6, 3.6). Whenever the motor fails, it is replaced with another of the same type. Find the
probability that fewer than 6 motors fail within one year.
 
 
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