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
Fynjy0 [20]
4 years ago
10

A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif

ying a bag containing explosives (5% chance of a false negative), and a 99.5% chance of correctly classifying a bag without explosives as safe (0.5% chance of a false positive). Suppose that the train station screens 4 million bags per year, and that 10 of these bags are expected to contain explosives. (2.5x10-6 probability that a bag contains explosives)A bag is identified by the system as containing explosives. What’s the probability that it actually contains explosives?If we want the probability in part (a) to be at least 0.5, what should the probability of correctly identifying a bag without explosives be?Would it be possible to make the probability in part (a) at least 0.5 by increasing the chance of correctly identifying bags containing explosives? Justify your answerThe probability of identifying a bag with explosives correctly is 95%the probability of identifying a bag without explosives as safe is 99.5%Given a sample space of 4 million, there are 10 bags that are expected to contain explosivesThis is all the info the problem gives me
Mathematics
1 answer:
astraxan [27]4 years ago
3 0

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence  probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

b)

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

c)

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

You might be interested in
A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be f
Ghella [55]

Answer:

the answer is two groups. six times two is 12, 12 is one less than 13 but six cannot go into one

8 0
3 years ago
Read 2 more answers
Which graph BEST represents the line of best fit for the scatterplot?<br>a.<br>b.<br>c.<br>d.
Ket [755]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write in expanded form 3.124
Mamont248 [21]
3.124
3 + 0.100+ 0.020 + 0.004
4 0
4 years ago
Read 2 more answers
Help pls thank you so much
azamat

Answer:

$179.20

Step-by-step explanation:

use the formula retail price = original price + markup

Step One: Convert 28% to a decimal

--> 0.28

Step two: Plug all the numbers into the equation

--> $140 + $140 x 0.28 = $179.20

Give brainliest if this was helpful! Thanks! Have an amazing day!

5 0
3 years ago
Can anyone pls help find the area of these 3 pls
Lana71 [14]

Answer:

1) 28.5ft Squared

Step-by-step explanation:

1/2*b*h

10 *5.7 = 57

1/2 of 57 = 28.5

4 0
3 years ago
Other questions:
  • A) La autopista 10 en Haradh, Arabia Saudita, tiene más de 200
    9·1 answer
  • 10 points! doing brainliest! Do all 3<br><br><br>​
    13·1 answer
  • K(x)=10x+5 inverse function
    12·1 answer
  • Is 0.15 greater than 1.3
    6·2 answers
  • Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?
    12·2 answers
  • Can anyone help me with the explanation and the work for the second one?
    7·1 answer
  • How do you find the area of combined rectangles?
    10·2 answers
  • Find the value of x. Round <br> the nearest tenth.
    12·1 answer
  • Which inequality is NOT true if y= -5?
    9·1 answer
  • I will mark as brainiest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!