Answer:
Step-by-step explanation:
Given that X has the following pdf.
x -1 0 2 6 7 Total
P(X) 0.3 0.1 0.3 0.2 0.1 1
xP(X) -0.3 0 0.6 1.2 0.7 2.2
x^2P(X) 0.3 0 1.2 7.2 4.9 13.6
Var(x) 13.6-2.2^2 8.76
Std dev 2.959729717
5) 
6. Find the cumulative distribution function F(x) and calculate F(3.2) =
x -1 0 2 6 7
P(X) 0.3 0.1 0.3 0.2 0.1
F(x) 0.3 0.4 0.7 0.9 1
F(3.2) = P(X<3.2) = ___F(X<6) = 0.7__________
7. E(X) = ______2.2_____
8. Var(X) = ____8.76______
Problem
After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment.
Result
The initial investment was $6,333.
Solution
P = I/ i · t
P = 950/ 0.03 · 5
P = 6,333.333
volume = l x w x h
volume = 20 x 35 x 50 = 35,000 cubic cm
1 cubic cm = 0.001 liter
35000 x 0.001 = 35 liters of water is needed
Answer:
2) Exact
3) Exact
4) Exact
5) Approximation
Step-by-step explanation:
