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
Tasya [4]
3 years ago
14

The error in the length of a part (absolute value of the difference between the actual length and the target length), in mm, is

a random variable with probability density function 120x2-x 0 〈 x 〈 1 f(x) = 0 otherwise a. What is the probability that the error is less than 0.2 mm? b. Find the mean error. c. Find the variance of the error. d. Find the cumulative distribution function of the error. e.The specification for the error is 0 to 0.8 mm, What is the probability that the specification is met?

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

The corrected parts of the question has been attached to this answer.

Answer:

A) Probability that the error is less than 0.2 mm; P(X < 0.2) = 0.0272

B) Mean Error (E(X)) = 0.6

C) Variance Error (V(X)) = 0.04

D) Answer properly written in attachment (Page 2)

E) P(0<X<0.8) = 0.8192

Step-by-step explanation:

The probability density function of X is;

f(x) = { 12(x^(2) −x^(3) ; 0<x<1

So, due to the integral symbol and for clarity sake, i have attached all the explanations for answers A - D.

E) The probability that the specification for the error to be between 0 to 0.8 mm is met will be;

P(0<X<0.8) = F(0.8) − F(0) =12([(0.8)^(3)] /3] −[(0.8)^(4)]/4]

= 0.8192

So, the probability is 0.8192.

You might be interested in
As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a s
lutik1710 [3]
(60x2)+30 = 150 miles

30 = 1/2 of 60 which is half an inch

60 x2 because he travels 2 inches
5 0
2 years ago
Laura bought 23 pounds of sugar for $12.<br> How many dollars did she pay per pound of sugar?
Vikki [24]

Answer:

≈ $0.52 per pound

Step-by-step explanation:

12/23  ≈ $0.52

6 0
2 years ago
Answer both there’s a part A and B
madreJ [45]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to m
salantis [7]
Given:

t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water

Required:
a) Expression of distance traveled with moving water with 3.6h
     Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current

Solution:

Working formula: 
distance = velocity*time

a) For travelling downstream, we get the equation

d = (x +y)*3.6

For travelling upstream, we get the equation

d = (x-y)*4.5

b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of

(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9

c) percentage = 1/9*100% = 11.1%

<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em>
                     <em>b) y = x/9
</em>                     <em>c) 11.1%</em> 

3 0
3 years ago
Guess how old I am. hints: I'm not really in college, I'm in Middle School. When you find out my age you are in for a shock for
babunello [35]
Maybe 11 years old??
4 0
2 years ago
Other questions:
  • Sally’s Hair Salon purchases hair dye and records the dye as an asset. As they are used, they are expensed. This is an example o
    6·2 answers
  • A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the tri
    5·1 answer
  • An item is regularly priced at $15. It is now priced at a discount of 75% off regular price
    5·2 answers
  • Slope intercept is what they're looking for
    8·1 answer
  • What is "two more than the quotient of six and a number, n" written as an algebraic expression
    8·2 answers
  • Mr. McLean manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sand
    12·2 answers
  • Classify the following triangle. Check all that apply.
    13·1 answer
  • 12<br>6<br>X<br>8<br>What is the length of the side x?​
    7·1 answer
  • GIVING BRAINLIEST TO WHOEVER ANSWERS THIS ASAP PLSSSS
    10·2 answers
  • statistics what is meant by re-expressing or transforming data? what is the purpose of re expressing or transforming data
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!