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
Leni [432]
3 years ago
13

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

hat the probability that a wafer passes the test is 0.7 and that wafers are independent. Determine the probability mass function of the number of wafers from a lot that pass the test. Round your answers to three decimal places (e.g. 98.765).
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

P(X = 3) = (0.7)^{3} = 0.343

You might be interested in
Whoever is right I will give you brainlist!!!
ziro4ka [17]

Answer:

B

Step-by-step explanation:

C and D aren't linear and A has a positive slope

3 0
3 years ago
Read 2 more answers
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the
vladimir2022 [97]

If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

<h3>What is demand curve?</h3>

Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.

The  price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line

Therefore  how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

Learn more about demand curve here:
brainly.com/question/1139186

brainly.com/question/16790743

#SPJ4

5 0
1 year ago
An electronic device factory is studying the length of life of the electronic components they produce. The manager takes a rando
alisha [4.7K]
The answer is B because if you have 10000 hours you subtract by 3000 and it’s equals b
6 0
2 years ago
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
dedylja [7]

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

6 0
2 years ago
Cting Polynomials: Practice
Colt1911 [192]

The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.

<h3>How to illustrate the information?</h3>

From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.

In this case, it should be noted that the sum and difference of p(x) and b are polynomials.

They can't be integers as the function given is represented as a polynomial.

In conclusion, the correct option is B.

Learn more about polynomial on:

brainly.com/question/16340513

#SPJ1

7 0
1 year ago
Other questions:
  • 88.83 is what percent of 21?
    9·2 answers
  • You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years?
    6·2 answers
  • Evaluate the expression for<br> a = 14, b = 29, c = 1, d = 1:<br> a + b - C-d
    15·2 answers
  • The level of water in a tank is 16 feet. The level decreases steadily, and the tank is emptied in 8 hours. What was the change i
    7·1 answer
  • Find the coordinates of the midpoint of LB if L(8,5) and B(-6,2)<br><br> 10 points!!!
    6·1 answer
  • Solve 3(x - 2) &lt; 18
    11·2 answers
  • avery brought 10 cupcakes to the bakery she wanted to order 10 cupcakes does she have enough money show your work and explain ​
    8·2 answers
  • Plz give answer and explanation <br> i will give 24 points
    13·2 answers
  • During the work week, a person worked 55 hours, for how many hours do they get Overtime Pay?
    7·1 answer
  • Write the following inequality in slope-intercept form.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!