answer.
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
larisa86
1 month ago
10

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak

e a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is?
Mathematics
1 answer:
Leona [12.6K]1 month ago
6 0

Answer:

The calculated standard deviation for the defective components in this sample is 1.88.

Step-by-step explanation:

The sampling is conducted with replacement, indicating that each trial is independent, allowing the use of the binomial probability distribution for this question.

Binomial probability distribution

This calculates the probability of achieving exactly x successes over n independent trials, with p being the success probability.

The expected value for the binomial distribution can be expressed as:

E(X) = np

The standard deviation for the binomial distribution is given by:

\sqrt{V(X)} = \sqrt{np(1-p)}

68 defective parts out of 400:

This indicates that p = \frac{68}{400} = 0.17

From the total shipment, you select a random sample of 25.

<pThis implies that n = 25

Calculating the standard deviation for defective parts in the sample:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88

The standard deviation for the defective parts in the sample is 1.88.

You might be interested in
Jack bought 4 dozen eggs at k10 per dozen. 6 eggs were broken .what percent of his money goes waste?​
zzz [12365]

Step-by-step explanation:

I hope this meets your requirements.

PLEASE MAKE ME BRAINLIEST

3 0
1 month ago
The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
Svet_ta [12734]
The provided equation illustrates the total distance Michael covered during an afternoon of sledding. In this equation, u represents the hours spent climbing the hill, while (u – 2) reflects the hours spent sledding down. To find the solution: The correct choice is D.
8 0
20 days ago
Read 2 more answers
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.
tester [12383]

Response: 13x-14

Detailed explanation:

5x+17+8x-31

4 0
1 month ago
Read 2 more answers
1. X^4(dy/dx) +x^3y =- sec (xy)<br><br>Integral by separation of variables? <br>​
PIT_PIT [12445]

Answer:

Step-by-step explanation:

Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;

x^{4} \frac{dy}{dx} +x^{3}y = -sec(xy)\\x^{3}(x\frac{dy}{dx} + y) = -sec(xy)\\let \ v=xy\\\frac{dv}{dx} = x\frac{dy}{dx} + y(implicit \ in\ nature)\\

By substituting v and dv/dx into the previous equation, we acquire;

x^{3}\frac{dv}{dx} = -secv

We then separate the variables:

-\frac{dv}{secv} = \frac{dx}{x^{3} }

-cosvdv = x^{-3}dx\\ integrating\ both\ sides\\-\int\limits {cosv} \, dv = \int\limits {x^{-3} } \, dx\\-sinv = \frac{x^{-2} }{-2} + C\\since\ v = xy\\-sinxy = \frac{x^{-2} }{-2} + C\\2sin(xy) = x^{-2} -2C\\2 sin(xy) = \frac{1}{x^{2} } -K (where\ K = 2C)\\

The end expression provides the solution to the differential equation.

8 0
1 month ago
5 Show different ways to make 492,623.
zzz [12365]

Step-by-step explanation:

Begin with expressing 492,623 in standard form.

4 hundred thousands + 9 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.

We can rephrase this in varied forms by shifting a digit to the next lower place value. For instance, shifting the 4 one place right results in 49 ten thousands:

49 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.

Next, we can move 49 ten thousands one place right to express it as 492 thousands, and shift 6 hundreds right to yield 62 tens.

492 thousands + 62 tens + 3 ones.

Alternatively, we can phrase it as:

4926 hundreds + 23 ones.

6 0
1 month ago
Other questions:
  • This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t
    8·1 answer
  • Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and the rest of the gang, too!) Adul
    12·1 answer
  • If 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed?
    7·2 answers
  • Quadrilateral FRIO is the result of a reflection of quadrilateral LAMB over the y-axis. FRIO has vertices at F(-7,6), R(1,7), I(
    14·1 answer
  • Use this information to find the value of b.<br><br><br>c = 25<br><br>s = 9<br><br><br>b = 4c - s2
    6·1 answer
  • Alex, Toby and Samuel are playing a game together.
    7·1 answer
  • Tell me weather 16641 is a perfect square by division method an please show me the solution too​
    7·2 answers
  • A factory produces 60005/12
    12·1 answer
  • Which expression can be used to convert 100 USD to Japanese yen?
    10·2 answers
  • How many different 4-letter permutations can be formed from the letters in the word decagon?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!