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Anton [14]
3 years ago
14

A mutual fund company offers its customers several different funds: a money market fund, three different bond funds, two stock f

unds, and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows:
Money market 20%
Short-term bond 15%
Intermediate-term bond 11%
Long-term bond 5%
High-risk stock 18%
Moderate-risk stock 24%
Balanced fund 7%
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?
c. What is the probability that the selected individual does not own shares in a stock fund?
Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

Step-by-step explanation:

Money market 20%

Short-term bond 15%

Intermediate-term bond 11%

Long-term bond 5%

High-risk stock 18%

Moderate-risk stock 24%

Balanced fund 7%

a) Here, it can be seen that the probability that the selected individual owns shares in the balanced fund is 0.07

b)

Short-term bond 15%

Intermediate-term bond 11%

Long-term bond 5%

Total 31%

So it can be observed that the probability that the individual owns shares in a bond fund is 0.31

c)

High-risk stock 18%

Moderate-risk stock 24%

Total 42%

So it is observable that the probability of an individual having a shares in a stock fund is 42%. However, if we need to find probability that an indiividual does not own shares in a stock fund: 1 - 0.42 = 0.58

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3 years ago
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Vladimir [108]

Step-by-step explanation:

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8 0
3 years ago
Which of the following is closest to the area of the shaded region below?
enot [183]

Answer:

C is the answer

Step-by-step explanation:

Find the area of the whole circle, r=12cm

=pie× radius sq

=3.14×12×12

=<u>452.16cm sq</u>

The are of the smaller circle, r=6cm

=same formula

=3.14×6×6

=<u>113.04cm sq</u>

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452.16 - 113.04

=339.12

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

4 0
2 years ago
The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y
ioda

Answer:

\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5

s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7

s= \sqrt{856849.7}=925.662

Step-by-step explanation:

For this case we can create the following table

Interval      Frequency (f)    Midpoint(xi)       xi *f      xi^2* f

0-499              9                       249.5            2245.5   560252.3

500-999         13                      749.5            9743.5    7302753

1000-1499      33                     1249.5          41233.5   51521258.25

1500-1999      115                    1749.5          201193.5  361986278.8

2000-2499     125                   2249.5         281187.5   632531281.3

2500-2999      81                    2749.5          222709.5 612339770.3

3000-3499      47                    3249.5         152726.5   496284761.8

3500-3999      45                    3749.5         168727.5    632643761.3

4000-4499      22                    4249.5         93489        397281505.5

4500-4999      10                     4749.5         47495        225577502.5

Total                500                                      1220750      3408029125

\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125

For this case we can calculate the sample mean with this formula:

\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5

And for the sample variance we can use the following formula:

s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}

And if we replace we got:

s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7

And the deviation is just the square root of the sample variance and for this case is:

s= \sqrt{856849.7}=925.662

4 0
3 years ago
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