Question

The speed of cars passing through the intersection of Morris Road and DeKalb Pike varies from 11 to 34 mph and is uniformly distributed. None of the cars travel over 34 mph through the intersection or travel below 11 mph. Enter answers as a decimal out to 2 places. find μ and σ.

Answer #1

Solution:

Given That,

a = 11

b = 34

c = 34

population Mean = = (a + b) / 2

= ( 11 +34 ) / 2

= 45 / 2

= 22.5

Mean = = 22.50

Population standard deviation =
=
( b - a )^{2} / 12

=
( 34 -11 )^{2} / 12

= 529 /12

=44.0833

=6.6395

Population standard deviation = 6.64

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