Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
To answer this question we can propose the following equation:
Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:
Then scenario A) is possible because 
.
After 6 weeks:
Then scenario B) is possible because 
.
After 7 weeks
Then scenario C) is possible because 
.
After 8 weeks
So scenario D) is NOT possible because 
Finally the correct answer is option D.
Since the graph is moving positive from left to right, x is positive. so now we are left with B) and C) for our answer
now, the y intercept or b is -3 as shown in the graph
the answer is C) y= x -3
