To perform this check, you must use the following theorem: is a lower bound for the zeroes of
if, when divide
by
, the quotient and the remainter alternate signs.
Since the long division yields the result
You can see that the signs don't alternate (the last two terms are positive). So, -1 is not a lower bound.
In fact, the actual roots of the polynomial are -3, -2, 1, 3, so as you can see there are roots smaller than -1.
.........where 78 is the total girls and d is the number of girls in a group.
Answer:
a) X = 2/15 , 8/15, 1/3
b) attached below ( probability plot )
C) F(x ) attached below
d) cumulative probability plot
Step-by-step explanation:
a) Determine the probability of Function X
P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333
P( x = 1 ) = 8/15 = 0.5333
P( x = 2 ) = 1/3 = 0.3333
Hence the probability of Function X = 2/15 , 8/15, 1/3
b) Graph of the probability Function of X
x 0 1 2
p(x) 0.1333 0.5333 0.3333
attached below is the plot ( probability plot )
<u>c) Determine the Distribution function of CX </u>
using the results achieved in part ( a )
attached below is the solution
<u>d) Graph of distribution function of X </u>
x 0 1 2
p(x) 0.1333 0.6667 1
attached below is the plot ( cumulative probability plot )
