Answer:
a) P = 0.039
b) The expected number of days is 10 days.
Step-by-step explanation:
The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.
The probability of success, as each of the 10 products are assumed to have fair probabilities, is:

Then, the probability that our product is not selected any given day is:

a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:

b) The expected number of days is calculated as:

Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer: B
Step-by-step explanation:
The sampling distribution of the proportion of damaged trees is approximately Normal
From the above problem, we
can create the equation:
P = 245 + 20 t
where P is the total payment that
Johnny receives and t is the total time he worked
Given that P = 2245, so find for
t:
2245 = 245 + 20 t
t = 100 hours