1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
11

In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained. 119 had investme

nts in stock funds. 99 had investments in bond funds. 65 had investments in money market funds. 47 had investments in stock funds and bond funds. 33 had investments in stock funds and money market funds. 33 had investments in bond funds and money market funds. 21 had investments in stock funds, bond funds, and money market funds. (a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.) (b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.) (c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

Step-by-step explanation:

total: 200 employees of a company

119 had investments in stock funds

99 had investments in bond funds

65 had investments in money market funds

47 had investments in stock funds and bond funds

33 had investments in stock funds and money market funds

33 had investments in bond funds and money market funds

21 had investments in stock funds, bond funds, and money market funds.

See Venn diagram attached

(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)

Exactly 2 kinds: 26+12+12 = 50

50/200 = 0.25

(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)

Exactly one kind: 60+40+20 = 120

120/200 = 0.60

(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)

60+40+20+26+12+12+21=191

200-191 = 9

9/200 = 0.045

You might be interested in
SIMPLIFY RADICAL 5√11×12√110
Aliun [14]
Well, to simplify a radical, you would multiply inside the radical and outside. 

So, 60 * root 1210.

Because 1210 divided by 121 (11*11) is 10, we can rewrite this as 660 * root 10. 
7 0
3 years ago
Colin surveyed 12 teachers at school to determine how much each person budgets for lunch. He records his results in the table. W
zmey [24]

Answer:

<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>

Step-by-step explanation:

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be:  \frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10

For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........

5   6   6   8   8   10   10   10   12   12   15   18

Here the middle values are 10 and 10. So, the median will be the average of those two middle values.

Thus, Median =\frac{10+10}{2}=\frac{20}{2}=10

We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".

8 0
2 years ago
Read 2 more answers
Hii i’ll give brainliest please help thanks :)
Juliette [100K]

Answer:

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest.

Hope this help

6 0
2 years ago
Tomorrow, Mrs. Wendel's class will be using toothpicks for a science project. Each student must use at least 5 toothpicks for th
Amiraneli [1.4K]

Answer:

I'm pretty sure A but let me know if I'm wrong

7 0
3 years ago
Y(a - b) = c(y + a);y
Alexandra [31]

​

Step-by-step explanation:

3x + 2y = 8

2y= -3x+8

y= -3/2x+4

so the answer is m= -

m=− 2

       3

​

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution to the equation below? (Round your answer to two
    5·1 answer
  • A number is randomly selected from { 15, 16, 17, 18, 19, 20}.
    15·2 answers
  • Find the solution of y=-3x - 1 for x = -5.
    15·2 answers
  • In YOUR own words give a definition of congruent.
    13·1 answer
  • In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the
    9·2 answers
  • Bentley took a ride on Rudolph’s back. At 8:00 pm, he counted 68 stars. At 10:00 pm, he counted twice as many stars. At 12:00 am
    15·2 answers
  • Molly is an insurance agent. She is mailing packages filled with marketing items to a few of her clients. The items she is inclu
    12·2 answers
  • Which expression results from using the Commutative Property of Addition to rewrite 9 5/6 + ( − 6 2/3 ) + 8 1/6 ?
    11·1 answer
  • Please help :P<br><br> Marking as brainlist
    6·1 answer
  • ANSWER CORRECTLY FOR 25 POINTS
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!