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
alexdok [17]
3 years ago
7

a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade

is found the assembly is replaced with a newly sharpened set of blades if 10 of the blades in an assembly are dull, what is the probability that the assembly is replaced the first day it is evaluated?
Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

P(at least 1 dull blade)=0.7068

You might be interested in
Hello! i need help with this really bad
gizmo_the_mogwai [7]
A is not linear A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

for each of its variables. In this case, the degree of variable

Not Linear
7 0
2 years ago
What is another way to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Evgesh-ka [11]
57 x .02 will get the right answr
4 0
2 years ago
What is the area of rectangle PQRS with vertices at P(0,2), Q(0,10), R(4,10), and S(4,2)?​
nadezda [96]
It’s 4,2 the and the other on PQRS
6 0
2 years ago
What are two equivalent fractions for 1/2
pogonyaev
50/100
5/10
hope that helped :)
4 0
3 years ago
Read 2 more answers
Each student needs 35 craft sricks for an art project. The art teacher has 7,140 craft sticks. How many students can get craft s
Karo-lina-s [1.5K]

Answer:

204 students

just do 7140/35= 204

Step-by-step explanation:


6 0
3 years ago
Other questions:
  • Maria and Nadia drive from Philadelphia to Toronto to visit their friend. They take two days for the trip, stopping along the wa
    12·1 answer
  • Find the slope of the line that passes through the following points
    14·1 answer
  • -4/3y+-2=15what is the answer <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204%7D%7B3%7D%20y%20%2B%20%20-%202%20%3D%2
    12·1 answer
  • Enter the addition problem so the fractions have a common denominator. Then find
    5·1 answer
  • Find an identity for cos(4t)
    7·1 answer
  • Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that
    7·1 answer
  • Find the probability that a senate is a male or a Democrats
    13·1 answer
  • Find the sum of x-1 and 6x-8
    7·2 answers
  • GUYSS HELP ME OUT HERE ON THIS QUESTION SO I CAN GET FREE WIFI
    13·1 answer
  • Felipe has a flower bed with area 25/4 ft². He expands the flower bed to have area 75/4 ft². How many square feet of space does
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!