1. Customers arrive randomly at a bank teller's window. Suppose that exactly one customer arrived during a particular 10-minute period. Let X equal the time within the 10 minutes that the customer arrived. If X is Unif(0,10), find a) P(X ≥ 8) b) P(2 < X < 8) c) E(X) d) Var (X)

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1. Customers arrive randomly at a bank teller’s window. Suppose that exactly one customer arrived during a particular 10-minute period. Let \(X\) equal the time within the 10 minutes that the customer arrived. If \(X\) is Uniform(0,10), find 
   
   a) \(P(X \geq 8)\)  
   b) \(P(2 \leq X < 8)\)  
   c) \(E(X)\)  
   d) \(Var(X)\)
Transcribed Image Text:1. Customers arrive randomly at a bank teller’s window. Suppose that exactly one customer arrived during a particular 10-minute period. Let \(X\) equal the time within the 10 minutes that the customer arrived. If \(X\) is Uniform(0,10), find a) \(P(X \geq 8)\) b) \(P(2 \leq X < 8)\) c) \(E(X)\) d) \(Var(X)\)
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