Hi  

The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/40 where x goes between 3 and 43 minutes.

Uniform Distribution a = 3 and b= 40

,  and  

Uniform and Continuous

c) μ = (46)/2 = 23

d) σ = sqrt((40)^2/12) 

e) P(x < 39) = (39-3)/40

f) ( 5 < x <23) = (23 - 5)(1/40)  

g.)P(x < k) = (k-3)(1/40) = .15 , k = 3 + 40(.15)

h.) NEW f(x):   

P(x> 36) = (43-36)(1/28)

Wish You the Best in your Studies.

 

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