Question

Suppose that it takes students between five and 10 minutes to walk from one classroom to another, and that the time is distributed uniformly.

The following graphs apply:

a. What is the value of c, the lower end-point of the interval where the probability density function, pdf, is non-zero?

b. What is the value of d, the upper end-point of the interval where the probability density function, pdf, is non-zero?   

c. What is the value of h, shown in the upper graph of the pdf, that makes the function a valid probability distribution?

d. What is the slope of the cdf, m, in the lower graph?   

Answer 1

ANSWER::

a)

as no student takes less that 5 min to transfer form one class to another ,the lower end of the interverl where PDF is non zero is 5 min

b)

as no student takes more that 10 min to transfer form one class to another ,the upper end of the interverl where PDF is non zero is 10 min

c)

area under PDF should be equal to 1 (one) so h * (d-c) =1 , so h = should be 1/5

d)

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