Find the probability that x lies between 10 and 17. ​(b) Find the probability that x lies between 6 and 28. ​(c) Find the probability that x lies between 8 and 27. ​(d) Find the probability that x lies between 11 and 20.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Consider a uniform distribution from
a=4
to
b=29.
​(a) Find the probability that x lies between
10
and
17.
​(b) Find the probability that x lies between
6
and
28.
​(c) Find the probability that x lies between
8
and
27.
​(d) Find the probability that x lies between
11
and
20.
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Click the icon to see the definition of the uniform distribution.
 
A uniform distribution is a continuous probability distribution for a random variable x between two values a and b
​(a<​b),
where
a≤x≤b
and all of the values of x are equally likely to occur. The probability density function of a uniform distribution is
y=1b−a
on the interval from
x=a
to
x=b.
For any value of x less than a or greater than​ b,
y=0.
 
For two values c and​ d, where
a≤c<d≤​b,
the probability that x lies between c and d is equal to the area under the curve between c and​ d, as shown.​ So, the area of the central shaded region equals the probability that x lies between c and d.
 
 
 
 
 
 
 
 
 
 
 
 
 
acdb           xy
 
 
​(a) The probability that x lies between
10
and
17
is
enter your response here.
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