SOLUTION: 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. Round answers to 4 decimal places when possi

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Question 1173092: 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. Round answers to 4 decimal places when possible.
a. This is a normal or uniform distribution?
b. It is a continuous or discrete distribution?
c. The mean of this distribution is
d. The standard deviation is
e. Find the probability that the time will be at most 39 minutes.
f. Find the probability that the time will be between 5 and 23 minutes.
g. Find the 15th percentile.
h. Find the probability that the time is more than 36 minutes given (or knowing that) it is at least 15 minutes.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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

f%28x%29+=+1%2F%28b-a%29+=+1%2F40, mu+=+%28a%2Bb%29%2F2+ and  +alpha+=+sqrt%28%28b-c%29%2F12%29

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):   f%28x%29+=+1%2F%2843-15%29+=+1%2F28

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

Wish You the Best in your Studies.