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
stepladder [879]
2 years ago
6

Question:

Mathematics
1 answer:
faltersainse [42]2 years ago
3 0

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

  • P(Declared Defective (detected) | Defective) = 0.95
  • P(not Detected | Defective) = 1-0.95=0.05
  • P(Declared Sound | Sound) = 0.97
  • P(Declared Defective |Sound) = 1-0.97=0.03
  • P(Defective)=0.05
  • P(Sound)= 1- 0.05 = 0.95

We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)

=0.95×0.03 /0.076 =0.375

You might be interested in
−7=y7 please help me out
Yuri [45]

Answer:

Step-by-step explanation:

y=-1

7 0
2 years ago
Read 2 more answers
Who is the father of modern Biology?<br>​
telo118 [61]
Aristotle
Hope this helps
5 0
2 years ago
Read 2 more answers
Help me I need it choose this one please
Kryger [21]

Answer:

Dilation is a transformation that either reduces or enlarges an object in the coordinate plane.

5 0
2 years ago
Tommy’s grandma gave him $20 and he makes 10 each week cutting grass. What is the algebraic expression for this phrase?
FrozenT [24]

Answer:

20 x 10

Step-by-step explanation:

7 0
3 years ago
Pat has 6 red, 1 yellow, 3 green, and 2 blue balloons. If she picks 1 balloon at random, what is the probability that the balloo
stepladder [879]
Answer:
3/12 or 1/4

Explanation:
There are 12 balloons and 3 are green
5 0
3 years ago
Other questions:
  • Find a parametric representation for the surface. the part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (en
    5·1 answer
  • Abigail jogged 10.6 miles in 2.5 hours. What is her jogging speed in miles per hour? A. 4.32 miles/hour B. 4 miles/hour C. 4.24
    15·2 answers
  • What is the answer and work shown for 9r+r+7b+10+b+r+4n
    5·2 answers
  • What is the answer 5 1/6
    13·1 answer
  • Malco weighs 42 more pounds than Peter the sum of their Weights is 286 pounds how much does Peter way
    15·2 answers
  • The velocity of a particle moving along the x-axis at any time t ≥ 0 is given by <img src="https://tex.z-dn.net/?f=v%28t%29%20%3
    9·1 answer
  • The diameter of a circle is 8 inches. What is the area?
    10·2 answers
  • Create an expression. Marvin's garden has 13 rose bushes in it. If he plants 4 more rose bushes each week, write an algebraic ex
    6·1 answer
  • Find the 9th term of the geometric sequence show below<br> -9x^4,27x^5,-81x^6
    8·1 answer
  • Brandon is having a bake sale at school to raise $140.00 to donate to the local animal shelter. He sells brownies for $1.00 each
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!