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
Pepsi [2]
3 years ago
8

The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags. Based on m

any test runs, the TSA determines that if a bag does contain large amounts of liquid, there is a probability of 0.98 the test will detect it. If a bag does not contain large amounts of liquid, there is a 0.07 probability the test will conclude that it does (a false positive).Suppose that in reality only 4 in 100 bags actuallycontain large amounts of liquid.
1. What is the probability a randomly selected bag will have apositive test? Give your answer to four decimal places.
2. Given a randomly selected bag has a positive test, what is theprobability it actually contains a large amount of liquid? Giveyour answer to four decimal places.
3. Given a randomly selected bag has a positive test, what is theprobability it does not contain a large amount of liquid? Give youranswer to four decimal places.
Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

1. 0.1445

2. 0.3426

3. 0.6574

Step-by-step explanation:

Let L be the event that there is liquid in the bag

Let + the be event of a positive test.

we are given:

P(+ | L) = 0.99

P(+ | L') = 0.10

P(L) = 0.05

1. Find P(+), use the Law of Total Probability to do this:

P(+) = P(+|L)P(L) + P(+ | L')P(L')

= 0.99 * 0.05 + 0.1 * (1- 0.05)

= 0.1445

2. Find P( L | + ) = P( L ∩ + ) / P(+) . . . definition of conditional probability

= P( + | L ) P(L) / P(+) . . . again using definition of conditional probability

= 0.99 * 0.05 / 0.1445

= 0.3426

3. P( L' | + ) = 1 - P( L | + ) = 1 - 0.3426 = 0.6574

You might be interested in
Help me please!! I need this for my math test!!
Svetlanka [38]

Answer:

y=+3

Step-by-step explanation:

6 0
3 years ago
What is 26 divided by 503?
Hatshy [7]

Answer:0.05168986083

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
For a game, three people are chosen in the first round. Each of those people chooses 3 people in the second round, and so on. Ho
vodka [1.7K]
18 because, 3 in the first round, 6 in the second round, 9 in the third round, 12 in the fourth round, 15 in the fifth round, and 18 on the sixth round.

Hope this helps you :)
6 0
3 years ago
Read 2 more answers
What is the least common multiple of 14 and 42 ( PLEASE HELP EXTRA POINTS !! ) ​
zaharov [31]

Answer:

Prime factors of 14(<u><em>2</em></u>,7)

Prime factors of 42(2,3,<em><u>7</u></em>)

List all the prime factors that appear in either number, then multiply

2*7=14 LCM

Step-by-step explanation:

3 0
3 years ago
Find the total cost. purchase price = $2615; tax rate = 3%
Lisa [10]
$2693.45 

hope it helps


6 0
3 years ago
Other questions:
  • 3n - 24<br> How to factor out the coefficient of the variable
    7·1 answer
  • HLEPPPPPP!!!!!
    13·1 answer
  • Three friends work after school for one month to earn extra money. Amber make $39.85 from walking dogs. Brian washes car and mak
    8·1 answer
  • Your answer is incorrect.
    12·1 answer
  • Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and
    10·1 answer
  • Simplify the following expression: 3 *3 (−4) *2 2 *6 (−3) *5<br><br><br> *= subscript
    15·2 answers
  • Please help!!! Trigonometry is so complicated to me
    7·1 answer
  • Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle
    6·1 answer
  • Find the slope between the points (-8,-4) and (0,0).
    11·1 answer
  • Você tem $ 20 para gastar com o táxi. A corrida custa $5 mais $2,50d 2,50 por quilômetro.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!