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
It took a car 6 hours to cover the distance between points A and B with the speed of 50 mph. How long will it take a bus to cove
Leno4ka [110]

Answer:

7hours and 30 minutes

Step-by-step explanation:

given a car travels with a speed of 50 miles -------->1hour

x miles -------->6hours

on cross multiplying we get the value of 'x'

x = 50×6 = 300

x=300miles

Now ,

40mls------->1h

300mls------->xh

x= 300/40

x=(3/4)×10

x= 7.5hours

x= 7½hours

6 0
3 years ago
How many significant figures will there be in the answer to the following
serious [3.7K]

can you show me a picture then maybe i can help you

4 0
3 years ago
What is 8.04=7+? can some one help me for this question please
Ivahew [28]

Answer:

1.04

Step-by-step explanation:

8.04 - 7 = 1.04

I hope this helps!

6 0
3 years ago
Read 2 more answers
I a, very confused on what the answer is to blank- 3/10=1/5
Yuri [45]

Answer:

a = 1/2

Step-by-step explanation:

a - 3/10 = 1/5

Add 3/10 to each side

a - 3/10 +3/10 = 1/5+3/10

a = 1/5+3/10

Get a common denominator

a= 1/5*2/2  +3/10

a = 2/10 +3/10

a = 5/10

Divide the top and bottom by 5

a = 1/2

4 0
3 years ago
How do I do multiplication?
levacccp [35]
<span>Multiply the number in the tens place of the bottom number by the number in hundreds place of the top number. Multiply 3 times 7 to equal 21. Add the 1 you carried to equal 22. You don't need to carry the 2 in 22, as there are no more numbers to multiply on this line, so you can just write it down next to the 6.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of a cylinder with height and radius can be found using the formula
    7·1 answer
  • 8(-a+4)=-6a-8+8a<br> Can y’all help me
    10·1 answer
  • Is three tenths equal to .30
    10·2 answers
  • 5x10^1
    11·1 answer
  • Is (1,1) a solution the equation 2x - y = 1 ?​
    15·2 answers
  • If Breanna drives a constant speed for 3 hours and travels 180 miles, what is her speed a mile per hour
    10·1 answer
  • Please help need anser
    11·2 answers
  • Zoey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3
    14·1 answer
  • Suppose that angle COP and angle TOD are vertical angles, the measure of angle COP is 11x-17 and The measure of angle TOD is 9x+
    9·1 answer
  • On a horizontal number lime, -6 is located to the left of -1. Enter an inequality that represents this statment.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!