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
Anon25 [30]
3 years ago
6

A machine produces photodetectors in pairs. Tests show that the first photo detector is acceptable with probability 3/5. When th

e first photo detector is acceptable, the second photo detector is acceptable with probability 4/5. If the first photo detector is defective, the second photo detector is acceptable with probability 2/5.
(a) Find the probability that exactly one photo detector of a pair is acceptable.
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer: P(A or B) = 7/25

the probability that exactly one photo detector of a pair is acceptable is 7/25

Step-by-step explanation:

Given:

The probability that the first photo detector is acceptable P(A)= 3/5

The Probability that the first photo detector is defective P(A') = 1 - P(A) = 1 - 3/5 = 2/5

The probability that the second photo detector is acceptable given that the first one is defective P(B|A')= 2/5

The probability that the second photo detector is defective given that the first one is acceptable P(B'|A) = 1 - 4/5 = 1/5

The probability that exactly one photo detector of a pair is acceptable is given as:

P(A/B) = P(A)P(B'|A) + P(A')P(B|A')

P(A/B) = 3/5 × 1/5 + 2/5 × 2/5

P(A/B) = 7/25

You might be interested in
What are all the common factors?
lord [1]

Answer:

2,3,6

Step-by-step explanation:

8 0
3 years ago
What is the actual length and width of the living room? Show your work.
alina1380 [7]
20 is the area
And 18 is the perimeter
6 0
3 years ago
Renee is standing at point (1, 0) on a gigantic circular track of radius 1 mile with center (0, 0). She walks counterclockwise a
mafiozo [28]

Answer:

32

Step-by-step explanation: xbcjxnszHJCGewupearl had some beads She used 3/5 of them to make bracelets and 1/4 of the remainder to decorate her sweater if she had 300 beads left how many beads did she have at first jdks

7 0
3 years ago
A student scored 88 and 97 on her first two quizzes find the possible values for the third quiz to score that will give her an a
Katyanochek1 [597]

Answer: 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98

Step-by-step explanation:

You basically try a whole bunch of numbers by taking those two numbers and another then adding them and dividing them by 3.

4 0
3 years ago
Read 2 more answers
Older people often have a hard time finding work. AARP reported on the number of weeks it takes a worker aged 55 plus to find a
mote1985 [20]

Answer:

34

Step-by-step explanation:

?

3 0
3 years ago
Read 2 more answers
Other questions:
  • How many possibilities are there if you are creating a 4-digit password using the digits 0 through 9? You may repeat numbers.
    6·1 answer
  • A circular pen has an area of 64<img src="https://tex.z-dn.net/?f=%20%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " a
    9·2 answers
  • URGENT , PLEASE EXPLAIN AND ANSWER | 98 POINTS
    8·2 answers
  • 45pts help! what are the solutions of this quadratic equation? -3x^2+1=3x-2
    8·2 answers
  • What does x = ? <br><br> Somebody please help me
    11·1 answer
  • Read the passage below and summarise it in a minimum of 100 words:
    9·1 answer
  • Pls help me with this! (Links=report)
    14·1 answer
  • Jon went to a restaurant and gave a 20% gratuity of $15 on the meal. How much was the original amount of the bill?
    6·1 answer
  • Podrías platicar sobre algún cuento de terror❓❓❓por favor ​
    13·2 answers
  • Logan is trying to pick out an outfit for the first day of school. He can choose from 2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!