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
adell [148]
3 years ago
6

A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen 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:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

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

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

You might be interested in
Please answer it would help me a lot
Deffense [45]
Find if all the ratios are proportional to 1:8. 2:16 is, so is 3:24, and 4:32. 4.5*8=36, and 5:40 is proportional. 6:48 is, and 6.5*8=52. The table is proportional, just divide the pay by the hours and you should be getting 8.
5 0
3 years ago
Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?
erastova [34]

Step-by-step explanation:

the description is very difficult to understand with special characters and potential typing errors.

I suspect the definition is

function(x) = 32 - x²

function(-5)function(-5) is then very easily calculated.

we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.

function(-5) = 32 - (-5)² = 32 - 25 = 7

so,

function(-5)function(-5) = 7 × 7 = 49

4 0
2 years ago
a recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat fl
zepelin [54]
2 and 3/4 more cups of white flour are used than wheat flour.
5 x 3/4= 3 3/4
3 x 1/3= 1
3 3/4 - 1+ 2 3/4
4 0
3 years ago
Read 2 more answers
Write a recursive rule for the arithmetic sequence 22,15,8,1
lara31 [8.8K]

Answer:

a=1

an= an-1 -7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help plzz I will mark brainliestttt
Radda [10]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve <br><img src="https://tex.z-dn.net/?f=%20%20%5Csin%28%20a%20%29%20%20%3D%20.8325" id="TexFormula1" title=" \sin(
    11·1 answer
  • a flying disc has 4 3/4 inch radius. what is the approximate circumference, rounded to the nearest inch?
    15·1 answer
  • PLZ ANSWER QUICK!!! FULL QUESTION IN PHOTO!!!​
    7·2 answers
  • Given: m || n and p is a transversal
    15·2 answers
  • Write down the missing number in the following 1,,4,9,16,25,?​
    5·2 answers
  • -(-(-)(-)(-10x))=-5 solve for x
    5·1 answer
  • List the coordinates of the image after a rotation of the figure below of 180° about the origin. ( a0, a1) ( a2, a3) ( a4, a5) (
    5·2 answers
  • Find the domain and Range<br> f(x)= 2/7x-2
    15·1 answer
  • A point on a graph is located at (0, -9). Which statement is true?
    5·2 answers
  • If f(x) = x^2 + 2, which interval describes the range of this function
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!