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
Natalka [10]
2 years ago
15

Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr

ug. 8 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that exactly 6 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places.
Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • 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.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

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

P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

You might be interested in
A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A med
Troyanec [42]
The tree diagram of the problem above is attached
There are four outcomes of the two events,

First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test -  No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054

The probability of someone picked at random has cancer given that test result indicates cancer is  \frac{0.0396}{0.0396+0.0096}= \frac{33}{41}

The probability of someone picked at random has cancer given that test result indicates no cancer is \frac{0.0396}{0.0004+0.9504} = \frac{99}{2377}

7 0
3 years ago
The ordered pair (3,9) is a solution to the following system of equations.
nevsk [136]
The answer to the question is: true
7 0
2 years ago
Write down, the three odd numbers in terms of ‘n’ whose middle term is ′2n − 1′
Afina-wow [57]

Answer:

but what is the value of term 'n'

Step-by-step explanation:

n=3

2n-1

2×3-1

6-1

5

Ans

8 0
3 years ago
sorry for all the question but I have to be somewhere in about 10 minutes and this is due tomorrow and most of this I don't unde
balu736 [363]
64 and 64 for the simplify the following
8.5 for evaluate the expression
$5.50 + $1.99n is for the movies question
x divided by 2 minus 18 is for the football fans

hope this helped some...
8 0
3 years ago
Hi, I need help with this question.
mart [117]
Use trigonometry to find your answer 

7 0
3 years ago
Other questions:
  • How do you find the slope in these two equations: 3x+7=-2 , -y-5=-9
    11·1 answer
  • What is the radius of the following circle x+y=100
    15·1 answer
  • What is the (10) for?
    8·2 answers
  • Given the function f(x) = 2(x + 4), find x if f(x) = 20.
    13·1 answer
  • Christian collects baseball cards. He has 8 fewer than twice as many Terkuma cards as Seun cards. He has three times as many Chu
    9·1 answer
  • 3(x-5)=2(x-10)<br> Solce for X
    15·2 answers
  • How to change the following improper fraction to a mixed number 88/36
    13·1 answer
  • Marshall wants to run laps around the circular track shown beloe. He starts at the center of the track and walks 72 yards to the
    13·1 answer
  • How to solve the inequality
    5·1 answer
  • a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!