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
Tatiana [17]
3 years ago
10

1. A company produces batteries. On average, 85% of all batteries produced are good. Each battery is tested before being dispatc

hed, and the inspector correctly classifies the battery 90% of the time.
A. What percentage of the batteries will be “classified as good”?
B. What is the probability that a battery is defective given that it was classified as good?
(3+3=6 marks)
Mathematics
1 answer:
pogonyaev3 years ago
7 0

Answer:

A. 78%

B. 1.92%

Step-by-step explanation:

Given the information:

  • 85% of all batteries produced are good
  • The inspector correctly classifies the battery 90%

A. What percentage of the batteries will be “classified as good”?

The percentage of batteries are not good is:

100% - 85% = 15% and of those 100-90 = 10% will be classified as good. Hence, we have:

= 0.85*0.9 + 0.15*0.1 = 0.78

= 78%

So 78% of the batteries will be “classified as good”

B. What is the probability that a battery is defective given that it was classified as good?

We will use the conditional probability formula in this situation:

P(B|A) = \frac{P(A \cap B)}{P(A)} where:

  • P(A) is the probability of A happening. (A is classified as good) => P(A) = 78%
  • P(B|A) is the probability of event B happening, given that A happened. (B classified as detective)
  • P(A \cap B) is the probability of both events happening => P(A \cap B) = 0.15*0.1 = 0.015 (5% of the batteries are not good. Of those, 100-90 = 10% will be classified as good)

We have:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.78} = 0.0192 = 1.92%

Hence, 1.92% probability that a battery is defective given that it was classified as good

You might be interested in
Write two expressions that could be used to find 105% of x. ANSWER TODAY!! :) thanks
Margaret [11]

First way: x * 1.05

This computes directly what 105% of x will be.


Second way: x + (x * 0.05)

This takes x (which is 100%) and adds 5% of x to it.

6 0
3 years ago
Read 2 more answers
What statements are true about the ordered pair (7,19) and the system of equations?
Tju [1.3M]

Answer:C


Step-by-step explanation:


3 0
3 years ago
An architect was building a
PolarNik [594]

Answer:

57

Step-by-step explanation:

8 0
3 years ago
Find the vertical, horizontal, and slant asymptotes, if any for y=x^3/ (x-2)^4
VashaNatasha [74]
This has both a horizontal and a vertical asymptote.  There are no slant (oblique) asymptotes cuz the degree of the numerator is not higher than that of the denominator.  If the degree of the numerator is less than the degree of the denominator, which is our case here, then the horizontal asymptote is 0.  But we also have a vertical asymptote, which occurs where the denominator = 0.  We all know that we break every rule known to mankind if we try to divide by 0, so there also a vertical asymptote at x = 2.
7 0
3 years ago
what is the slope of the line that passes through the point (-20,18) and (30,14)? a-25/2 b -5/2 c-2/5 d -2/25
lyudmila [28]

Answer: A: -25/2

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • an electrician charges $50 to make a house call and $40 for each hour worked. if you have $200 can you afford a repair that take
    9·2 answers
  • Please hurry :) fast
    10·1 answer
  • Solve the equation <br> -4(8+y)=9
    5·2 answers
  • What is the factorization of x^3 + 8?
    7·1 answer
  • There is an average of 22.455 employees at 22 office furniture dealers in a major metropolitan area, with a standard deviation o
    14·2 answers
  • How do you do fraction ,like 20 on top line then 30 on bottom ,I was bad art math sorry please explaine to my daughter so she ca
    15·2 answers
  • 1. There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. Exactly how many more girls are there
    10·1 answer
  • What is the answer for the diagram?
    14·1 answer
  • Can someone help me pleaseee?
    10·1 answer
  • Select all expressions that are equivalent to 5x - 15 - 20x + 10.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!