Question

The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 28 to 46 minutes. Let   X   denote the time until the next bus departs.

1. The distribution is    (pick one) PoissonNormalExponentialUniform and is    (pick one) discretecontinuous .
2. 
   
3. 
   
4. 
   
5. The mean of the distribution is
   

   μ=   .

6. 
   
7. 
   
8. 
   
9. The standard deviation of the distribution is
   

   σ=   .

10. 
    
11. 
    
12. 
    
13. The probability that the time until the next bus departs is between 30 and 40 minutes is
    

    P(30<X<40)=   .

14. 
    
15. 
    
16. 
    
17. Ninety percent of the time, the time to the next departure is less than how many minutes?
    

    That is, P(X≤a)=0.9   for   a=   .

Answer 1

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Thank you.