Question

Suppose you sample one value from a uniform distribution with a=0 and b=50. a. What is...

Suppose you sample one value from a uniform distribution with a=0 and b=50. a. What is the probability that the value will be between 25 and 39 b. What is the probability that the value will be between 33 and 22? c. What is the​ mean? d. What is the standard​ deviation?

Math   Statistics-And-Probability   
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Answer #1

Let X ~ uniform ( 0, 50)

pdf , p(x) = ; 0 < x < 50

0 ; otherwise

a) P( 25 < X < 39) =

=

=

= 14/50

= 0.28

b) P( 22< X < 33) =  

=  

=  

= 11/50

= 0.22

c) Mean, = = 25

d) Standard deviation, = 14.43

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