Answer:
A) the probability model for the insurance company's profit:
<u>x 100 -9,900 -2,900</u>
P(X = x) 0.9975 0.0005 0.002
There is a 0.05% chance that there will be a major injury and a 0.2% chance of a minor injury, the chance of no injury happening is 99.75%.
B) the company's expected profit = ($100 x 0.9975) + (-$9,900 x 0.0005) + (-$2,900 x 0.002) = $99.75 - $4.95 - $5.80 = $89
C) the standard deviation is the square root of the variance, and the variance =
σ² = ∑(x - μ)² P(x) = (11² x 0.9975) + (9989² x 0.0005) + (2989² x 0.002) = 121 + 49,890 + 17,868 = 67,879
standard deviation = √σ² = √67,879 = 260.54
Four hundred and eighty five million, two thousand.
The answer to the first one is D. The numbers are being decreased by 6. The answer to the second one is A. The numbers are being multiplied by 10.
Let's assume two variables x and y which represent the local and international calls respectively.
x + y = 852 = total number of minutes which were consumed by the company (equation 1)
0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2)
from equation 1:-
x=852 -y (sub in equation 2)
0.06 (852 - y) + 0.15 y =69.84
51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12)
0.09 y =18.74
y= 208 minutes = international minutes (sub in 1)
208+x=852 (By subtracting both sides by 208)
x = 852-208 = 644 minutes = local minutes
