Question Continuation
A customer who owns shares in just one fund is to be selected at random.
a. What is the probability that the selected individual owns shares in the balanced fund?
b. What is the probability that the individual owns shares in a bond fund
Answer:
a. 0.08
b. 0.28
Step-by-step explanation:
Given
Money-market 22%
High-risk stock 17%
Short bond 11%
Moderate-risk stock 25%
Intermediate bond 12%
Balanced 8%
Long bond 5%
a. What is the probability that the selected individual owns shares in the balanced fund?
Let P(Balanced) = The probability that the selected individual owns shares in the balanced fund
P(Balanced) is given as 8% from the above table
So, P(Balanced) = 8/100
P(Balanced) = 0.08
b. What is the probability that the individual owns shares in a bond fund
Let P(Bond) = The probability that the individual owns shares in a bund fund
P(Bond) = P(Short Bond) + P(Intermediate Bond) + P(Long Bond)
P(Short Bond) = 11%
P(Intermediate Bond) = 12%
P(Long Bond) = 5%
So, P(Bond) = 11% + 12% + 5%
P(Bond) = 28%
P(Bond) = 0.28
Answer: c
Step-by-step explanation:
Answer:
33%
Step-by-step explanation:
The area of the entire circle:
The radius is 4+3+3 = 10
Area of a circle= pi * r^2
Area of largest circle = pi * 10^2 = 100 pi
Area of blue ring = Area of blue circle - area of inner white circle
The blue circle has a radius of (4+3) = 7
The inner white circle had a radius of 4
Substituting what we know
Area of blue ring = Area of blue circle - area of inner white circle
= pi * r^2 - pi*r^2
= pi * 7^2 - pi *4^2
= 49pi - 16pi
= 33 pi
The percentage of the logo that is blue is the blue ring/ area of largest circle
percentage = 33 pi/100 pi
Canceling pi
percentage = 33/100
= 33 %