(a) <em>X</em> has a probabiliity density of
If the lower quartile is 5 and the upper quartile is 9, then
Computing the integrals gives the following system of equations:
5 - <em>a</em> = 0.25 (<em>b</em> - <em>a</em>) ==> 0.75<em>a</em> + 0.25<em>b</em> = 5 ==> 3<em>a</em> + <em>b</em> = 20
<em>b</em> - 9 = 0.25 (<em>b</em> - <em>a</em>) ==> 0.25<em>a</em> + 0.75<em>b</em> = 9 ==> <em>a</em> + 3<em>b</em> = 36
Eliminate <em>a</em> :
(3<em>a</em> + <em>b</em>) - 3 (<em>a</em> + 3<em>b</em>) = 20 - 3×36
-8<em>b</em> = -88
==> <em>b</em> = 11 ==> <em>a</em> = 3
and so P(<em>X</em> = <em>x</em>) = 1/(11 - 3) = 1/8 for all 3 < <em>x</em> < 11.
(b)
(c) The distribution function is then
Answer:
x= -3
Step-by-step explanation:
If this is wrong im sorry ;-;
Answer:
69
Step-by-step explanation:
I just kept going up by 3 until the 20th term
If you would like to solve the equation 1/2 + 9/10 + m + n = 2, you can do this using the following steps:
1/2 + 9/10 + m + n = 2
m + n = 2 - 1/2 - 9/10
m + n = 20/10 - 5/10 - 9/10
m + n = 6/10
m + n = 3/5
If you want to solve this equation for m:
m = 3/5 - n
If you want to solve it for n:
n = 3/5 - m