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
SIZIF [17.4K]
3 years ago
5

Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both insp

ectors). The first inspector detects 83% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 34% of all defective components. What is the probability that the following occur
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Complete question is;

Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 83% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 34% of all defective components. What is the probability that the following occurs?

(a) A defective component will be detected only by the first inspector?

b) A defective component will be detected by exactly one of the two inspectors?

(c) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?

Answer:

A) 0.17

B) 0.34

C) 0

Step-by-step explanation:

a) We are told that the first inspector(A) detects 83% of all defectives that are present, and the second inspector(B) also does the same.

This means that;

P(A) = P(B) = 83% = 0.83

We are also told that at least one inspector does not detect a defect on 34% of all defective components.

Thus;

P(A' ⋃ B') = 0.34

Also, we now that;

P(A ⋂ B) = 1 - P(A' ⋃ B')

P(A ⋂ B) = 1 - 0.34

P(A ⋂ B) = 0.66

Probability that A defective component will be detected only by the first inspector is;

P(A ⋂ B') = P(A) - P(A ⋂ B)

P(A ⋂ B') = 0.83 - 0.66

P(A ⋂ B') = 0.17

B) probability that a defective component will be detected by exactly one of the two inspectors is given as;

P(A ⋂ B') + P(A' ⋂ B) = P(A) + P(B) - 2P(A ⋂ B)

P(A) + P(B) - 2P(A ⋂ B) ; 0.83 + 0.83 - 2(0.66) = 0.34

C) Probability that All three defective components in a batch escape detection by both inspectors is written as;

P(A' ⋃ B') - (P(A ⋂ B') + P(A' ⋂ B))

Plugging in the relevant values, we have;

0.34 - 0.34 = 0

You might be interested in
HELP PLZ '-' Khan Acdamey
Talja [164]

That picture is trying to tell us the area is

A = x² - 12x + 36

A = (x - 6)²

Since for a square

A = s²

s² =  (x - 6)²

s = |x - 6|

Answer: |x-6|

4 0
3 years ago
Why is my meat so small?
Vaselesa [24]
Just use apple juice
3 0
2 years ago
HURRY AND ANSWER
Dennis_Churaev [7]

24+28.5−8=44.5 ft^2

The total area is 44.5 ft^2.


4 0
3 years ago
Read 2 more answers
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n
Sergeeva-Olga [200]

Answer:  \bigg(n+\dfrac{5}{4}\bigg)^2

<u>Step-by-step explanation:</u>

n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2

5 0
3 years ago
An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truc
marin [14]
To find the number of full trucks we can do 1006 / 12. This gives us 83.8333. That is, 83 full trucks and a bit left over.
The bit left over is the answer to the second part, the last truck. 0.8333 is the same as 10/12, so the last truck will have 10 cars in it. If we didn’t know that fraction, we could find the answer by saying 12x83 = 996. 1006 - 996 = 10.

So the final answer is: 83 full trucks and 10 cars in the last truck.
3 0
3 years ago
Other questions:
  • Timothy bought concrete mix for several projects. He used
    10·2 answers
  • (Wil give Brainliest) Please Helpp
    11·2 answers
  • A boy gets 560 marks out of 700. What is the percentage of his marks?​
    12·2 answers
  • What is the correct verbal expression for the mathematical expression 5 - 2x?
    12·2 answers
  • write the equation of the line that has a slope of a -2/3 and passes through the origin and standard form
    12·1 answer
  • If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
    6·1 answer
  • Can i get a lil help here, lollolll
    9·1 answer
  • I need the find the area of a rectangle. the length is 6.5x + 5ft and the width is 15 ft
    7·1 answer
  • Angles not necessarily drawn to scale ×=______​
    5·1 answer
  • Doing a Pre-Algebra Unit Test on Khan Academy
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!