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
Westkost [7]
2 years ago
4

if the probability of a machine producing a defective part is 0.05, what is the probability of finding exactly 4 defective parts

from a sample of 100? (assume that the process follows a binomial distribution.)
Mathematics
1 answer:
ra1l [238]2 years ago
4 0

There is a probability of 22% that exactly 4 defective parts will be found in a sample of 100.

Probability of a machine producing a defective part is 0.05,

p = 0.05

q  = 1 - p = 1 - 0.05 = 0.95

n = 100

P(x)  = ⁿCₓ pˣqⁿ⁻ˣ

x = 4  

P(4) = ¹⁰⁰C₄(0.05)⁴(0.95)⁹⁶

P(4) = 0.215569

=  0.2156

0.2156 is the probability of finding exactly 4 defective parts from a sample of 100.

The probability of defective parts is the likelihood that a part will be defective. This can be due to a variety of factors, such as poor quality control, incorrect manufacturing process, or use of sub-standard materials. A high probability of defective parts can lead to serious problems, such as faulty products, safety hazards, and financial losses.

Learn more about safety hazards at : brainly.com/question/11597023

#SPJ4

You might be interested in
What is 3.8 as a fraction
slava [35]
Fraction 19/5 
mixed fraction 3 4/5
8 0
4 years ago
Read 2 more answers
The population P of a certain city can be modeled by P=19000e0.0215t where T represent the number of years since 2000. When t=1
8090 [49]

Answer:

Step-by-step explanation:

The population P of a certain city can be modeled by

P=19000e0.0215t

where T represent the number of years since 2000.

When t=1 the year is 2001

when t =2 the year is 2002. This means that

When t=0 the year is 2000

To determine the year when the population will be 40,000 , we will substitute P = 40,000 and solve for t. It becomes

40000 = 19000e^0.0215t

40000 / 19000 = e^0.0215t

2.105 = e^0.0215t

Take ln of both sides

0.7443 = 0.0215t

t = 0.7443/0.0215

t = 34.62

Approximately 35 years

So the year will be 2035

6 0
3 years ago
For three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.
nydimaria [60]

Answer:

A.) The temperature fell in the last minute, but less than it fell in the minute before.

Step-by-step explanation:

Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.

i.e. it temperature is represented by T, temperature is variable with

first derivative T' <0 and second derivative T">0

i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.

But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.

So correct option would be option A

A.) The temperature fell in the last minute, but less than it fell in the minute before.

7 0
4 years ago
£620 is divided between Malachy, Paul &amp; Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much
Gelneren [198K]

Answer:

Step-by-step explanation:

8 0
3 years ago
How do I multiply a decimal with another decimal?
Lapatulllka [165]
If you have no calculator, pretend like the decimals aren’t there then add them back depending on how many places you have after the decimal. for example: 2.5 times 2.5, if you pretend there are no decimals, you get 625, then you have to add the decimals back. since you have 1 digit after each decimal in each number, you add 1+1=2 to get the number of places you have to add back. so you get 6.25
6 0
3 years ago
Read 2 more answers
Other questions:
  • If a new mustang is valued at 20,000 and five years later it is valued at 8000, then what is the average rate of change of its v
    9·1 answer
  • URGENT!!!!!!!!!!!The graph shows the recorded heights of a plant in a soil experiment.
    15·2 answers
  • Solve this literal equation<br><br> 2a-b=8b-4a
    15·1 answer
  • Bill wants to rent a car.Rental Company A charges $35 per day plus $0.10 per mile driven.Rental Company B charges $25 per day pl
    7·1 answer
  • How do you solve this problem -32=x+(-20)?
    12·1 answer
  • 5.(11 letters) a diagram used to Show relationships between sets.
    13·2 answers
  • What is the value of x in the equation 3x-4y=65, when y=4?<br> WN
    7·2 answers
  • Help me solve this ASAP. Will mark brainlest Give the equation of the line with the following slope and.y-intercept m=0 b=7/2
    8·1 answer
  • Plz help 27 points answer all plz thanks
    14·2 answers
  • 1. Find the volume of the rectangular prism
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!