Answer:
See below
Step-by-step explanation:
images attached showing all working
a) The possible values of X are as follows
X = {0,1,2,3,4}
P(x) = P(X=x)
b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.
c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).
Answer:
A. 336
B. Arranging 3 people in 8 chairs.
C. 42
B. Arranging 2 people in 7 chairs.
Step-by-step explanation:
A.
Formula for Permutation is given as:
Putting the value of = 8 and
, we get:
B. Real world situation for part A:
Arranging 3 people on 8 chairs.
First person has 8 options.
Second person has 7 options.
Third person has 6 options.
C.
Formula for Permutation is given as:
Putting the value of = 7 and
= 2 , we get:
D. Real world situation for part AC:
Arranging 2 people on 7 chairs.
First person has 7 options.
Second person has 6 options.
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
