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Use the following information to answer the next eight exercises. A distribution is given asX~U(0,12).

Find the 40thpercentile

Short Answer

Expert verified

The value of40thpercentile is4.8.

Step by step solution

01

Given information

A distribution is given as X~U(0,12)

02

Solution

The probability density function or height for variable X, which follows uniform distribution with parameter (0,12), is shown below:

f(x)=1120

=112

Thus the 40thpercentile will be,

P(x<k)=base×height

0.40=(k0)112

k=0.40×12

=4.8

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