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
Leno4ka [110]
2 years ago
10

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

he town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50
Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

7 + 18 = 25 employees, which means that N = 25

7 over 50, which means that k = 7

10 dismissed, which means that n = 10

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055

0.055 = 5.5% probability that exactly 5 employees were over 50.

You might be interested in
PLEASE HELP. i need to show my work for<br> the correct answer. please help
e-lub [12.9K]

Answer:

I THINK IM WRONG BUT

Step-by-step explanation:

X3 NUZZELS POINCES ON U

7 0
3 years ago
What is the answer to this expression when x=5<br> 3x+15=?
Nikitich [7]
3(5)+15= 30
because BIDMAS so we would multiply 3 by 5 then add the answer which would be 15 to 15 and we would get 30.
5 0
3 years ago
Read 2 more answers
On a number line, 7.7 would be located. Choose all answers that make a
PolarNik [594]

Answer:

The Correct Answer are B and D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which list shows three solutions to the inequality?
Amiraneli [1.4K]
I think the answer is C
3 0
1 year ago
________ defines how much the portion is of the base
zysi [14]
The rate defines how much the portion is of the base.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A carton of large eggs way about 1.5 pounds. If a carton holds a dozen eggs, how many pounds does each egg weigh
    15·1 answer
  • What is the missing angle measure of 112 68 50
    9·2 answers
  • (3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths
    8·1 answer
  • PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • Did I do this correctly?
    15·1 answer
  • Create one original post that
    14·1 answer
  • For which situation could flipping a coin be
    13·1 answer
  • In a family there was give sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by
    14·2 answers
  • Find the number of boxes needed, x, for 42 granola bars. ​
    12·1 answer
  • The table represents the function 7 = 5x- Output ) Input (3) -2 -18 8 x 1 2 2 12 8 2 2. What is the input when the output is 12
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!