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
Dmitriy789 [7]
2 years ago
14

Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par

t B works for one year is 0.6. The probability that at least one part works for one year is 0.9. Calculate the probability that part B works for one year, given that part A works for one year.
Mathematics
1 answer:
Mrrafil [7]2 years ago
3 0

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that P(A) = 0.8, P(B) = 0.6

The probability that at least one part works for one year is 0.9.

This means that: P(A \cup B) = 0.9

We also have that:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

0.9 = 0.8+0.6 - P(A \cap B)

P(A \cap B) = 0.5

Calculate the probability that part B works for one year, given that part A works for one year.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

You might be interested in
11 minus the product of 5 and a number k
Alex787 [66]

This would be displayed as 11 - 5k

This cannot be solved, however, without knowing the value of k, or at least what the expression is equal to.

7 0
3 years ago
48&lt;4(-7+n) <br><br><br> Um what’s the answer :)
Y_Kistochka [10]

Answer:

n>19

Step-by-step explanation:

4 0
3 years ago
In a school of 330 students, 85 of them are in the drama club, 200 of them are in a sports team and 60 students do drama and spo
PilotLPTM [1.2K]

Answer:

nn n h hbjfbyfdxjnw1urdnbr3rb3j ruh3w drk4jtYHU&jt5krde,frtnjhd,dbf

Step-by-step explanation:

jddddddmk.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

7 0
3 years ago
Starting with the number 3, build a sequence of 5 numbers.
just olya [345]

Answer:

3, 6, 9, 12, 15

adding 3 each time

or

3, 9, 27, 81, 243

multiplying by 3 each time

Step-by-step explanation:

8 0
3 years ago
H(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
Elina [12.6K]

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

6 0
3 years ago
Other questions:
  • Solve following <br> x-y=2<br> 5x+3y=18
    6·2 answers
  • Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.
    11·1 answer
  • Twenty college students were asked for their number of close friends; persons who showed sympathy when needed and helped in hard
    15·1 answer
  • What is the volume of a triangular prism that is 10cm long, 7 cm wide and 4 cm high
    7·1 answer
  • What point divides the line segment between (10,-2) and (-6,6) into a ratio of 5:3
    6·1 answer
  • Does anyone know what 2/6 plus 1/8 is?
    8·1 answer
  • V^2-8v=0 solving quadratic equation
    13·1 answer
  • The payroll register of Wang Heritage Co indicates $2,058 of social security withheld and $514.50 of Medicare tax withheld on to
    14·1 answer
  • 7 2/3-(-4 1/4)<br> calculate each diffrence.estimate before calculating
    12·1 answer
  • I need help with 14 and 15
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!