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
Ganezh [65]
3 years ago
8

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

ny part is 0.96. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the mean and variance of X. Round your answers to three decimal places (e.g. 98.765). Mean
Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer: \mu=2.88\ \&\ \sigma^2=0.115

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

\mu=np\\\\\sigma^2=np(1-p)

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

You might be interested in
Find the gradient of the line segment between the points (10,-4) and (6,-16).
svet-max [94.6K]
The answer is -3 . Use the gradient formula y2-y1/x2-x1

5 0
2 years ago
Drag each title to the correct box. Not all tiles will be used
mestny [16]

Answer:

4, 1, 6.

See explanation

Step-by-step explanation:

You are given the equation

d=vt-\dfrac{1}{2}at^2

First subtract vt from both sides:

d-vt--\dfrac{1}{2}at^2

and multiply the equation by -1:

vt-d=\dfrac{1}{2}at^2\ \ \ \ (1)

Now multiply (1) by 2:

2(vt-d)=at^2\ \ \ \ \ (2)

At last, divide by a

t^2=\dfrac{2(vt-d)}{a}\ \ \ \ \ (3)

5 0
3 years ago
Simplify in Exponential form <br> First correct answer gets BRAINLIEST
svlad2 [7]

Answer:

Steps to simplifying fractions

Therefore, 9/9 simplified to lowest terms is 1/1.

Reduce 9/8 to lowest terms

9/8 is already in the simplest form. It can be written as 1.125 in decimal form (rounded to 6 decimal places).Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
1) A population of genetically modified
TiliK225 [7]
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.

So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.

There will be 40 mosquitoes after ten months.
7 0
2 years ago
Solve c: P = a+b+c+d / 4
m_a_m_a [10]

Answer:

  • as written: c = P - a - b - d/4
  • with parentheses: c = 4P - a - b - d

Step-by-step explanation:

The meaning of the given expression is ...

  P = a + b + c + (d/4)

To solve for c, subtract all the terms on the right side not containing c.

  P -(a + b + (d/4)) = c

  c = P - a - b - (d/4)

_____

In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.

  P = (a + b + c + d)/4 . . . . maybe what you meant

  4P = a + b + c + d . . . . . . multiply by 4

  4P - (a +b +d) = c

  c = 4P -a -b -d

8 0
3 years ago
Other questions:
  • Solve k = 1/ 2 mv2 for m
    15·1 answer
  • What is the measurement of
    13·2 answers
  • #2 <br> what number is 75% of 300?<br> A) 36<br> B) 22.5<br> C) 2250<br> D) 225
    13·2 answers
  • Electric charge is distributed over the rectangle 2 ≤ x ≤ 4, 0 ≤ y ≤ 2 so that the charge density at (x, y) is σ(x, y) = 2xy + y
    14·2 answers
  • The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2π
    8·1 answer
  • an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?
    13·1 answer
  • Question and answer choices are in the SS attached!!!! Pls help me! ty!
    9·1 answer
  • The expression -210 + 11x represents a submarine that began at a depth of 210 feet below sea level and ascended at a rate of 11
    9·1 answer
  • What are two measurements are needed to calculate the velocity of an object
    9·1 answer
  • Solve this please!! I'm really stuck
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!