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
Umnica [9.8K]
3 years ago
11

a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

what is the probability that the sample will contain exactly 0 nonconforming units? 1 non conforming unit
Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25

We can calculate the probability of getting one non-conforming units (k=1) as:

P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51

You might be interested in
Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

4 0
3 years ago
Read 2 more answers
0.09 is one tenth of
liq [111]
<u>0.09</u> = <u>1 </u>
0.9      10

I hope this helps.

4 0
3 years ago
Read 2 more answers
Can someone tell me a joke or say something that happened in your life before? thx lol im bo.red
Alla [95]

Answer:

well my brothers parakeet died 2 days ago sooooooooooooo......

Step-by-step explanation:

4 0
3 years ago
An object falls d meters in t seconds
harina [27]
You would take d times t seconds and find the answer
3 0
3 years ago
Please help! An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain
Gwar [14]

draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2 + k hope it helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 40 x 365 / 6
    14·2 answers
  • A __________ is a quadrilateral that has one pair of opposite sides parallel.
    11·1 answer
  • 11. A wave has a wavelength of 125 meters is moving at a speed of 20 m's. What is its frequency?
    8·1 answer
  • Which ratio correctly compares 30 in. to 2 ft, when the lengths are written using the same units?
    7·1 answer
  • Yuto solved the equation below.<br><br><br><br> What is the solution to Yuto’s equation?
    8·2 answers
  • A group of objects or numbers is called a A part of a set is called a
    13·1 answer
  • Which could be the measures of the three angles of an acute triangle?
    11·2 answers
  • A boat traveled 128 kilometers in
    15·1 answer
  • A regular work week is 40 hours. Overtime pay is time and one-half. Isabel drives a truck for $8.75 an hour. If she worked 48 ho
    15·1 answer
  • Question 7 of 10
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!