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
olga nikolaevna [1]
3 years ago
8

Samples of laboratory glass are in small, lightpackaging or heavy, large packaging. Suppose that 2% and 1% of thesample shipped

in small and large packages, respectively, breakduring transit. (a) If 60% of the samples are shipped in largepackages and 40% are shipped in small packages, what proportion ofsamples break during shipment? (b) Also, if a sample breaks duringshipment, what is the probability that it was shipped in a smallpackage?
Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

a) 1.4% of the samples break during shipment

b) the probability is 4/7 ( 57.14%)

Step-by-step explanation:

a) defining the event B= the sample of laboratory glass breaks , then the probability is:

P(B)= probability that sample is shipped in small packaging * probability that the sample breaks given that was shipped in small packaging +  probability that sample is shipped in large packaging * probability that the sample breaks given that was shipped in large packaging = 0.40* 0.02 + 0.60*0.01 = 0.014

b) we can use the theorem of Bayes for conditional probability. Then defining the event S= the sample is shipped in small packaging . Thus we have

P(S/B)= P(S∩B)/P(B) = 0.40* 0.02 / 0.014= 4/7 ( 57.14%)

where

P(S∩B)= probability that sample is shipped in small packaging and it breaks

P(S/B)= probability that sample was shipped in small packaging given that is broken

You might be interested in
After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an
nika2105 [10]

Answer:

pls like and make me brainliest :)

Step-by-step explanation:

1275 divided by 15=$85 each

3 0
2 years ago
Need help plsssssss :(
ahrayia [7]
Supplementary angle must add up to 180 so the supplement will be 108 degrees. 180-72=108.
5 0
3 years ago
Simplificar: 8 – 14 + 7 +9 <br>​
jeka57 [31]

Step-by-step explanation:

this is your answer.............

6 0
3 years ago
Read 2 more answers
B) -3x - 10 = 5x + 6
miskamm [114]

Answer:

- 2

Step-by-step explanation:

5x + 3x = - 10 - 6

8x = -16

x = -2

6 0
3 years ago
Read 2 more answers
2x – 3y = 10<br> 1-5x + 8y = –26<br> ([?], [ ]
damaskus [11]
2 7
Explanation
Explain to
Explanation
7 0
3 years ago
Other questions:
  • 0.6667 converted into a fraction in simplest form
    14·1 answer
  • Colin listed his assets and liabilities on a personal balance sheet.Colin's Balance Sheet (August 2013)AssetsLiabilities$1,500ca
    7·2 answers
  • How are expressions and equations different ?
    15·2 answers
  • Which of the following accurately compare 15-√105 and 5?
    8·2 answers
  • Use the above figure to answer the question. What's the angle between the tangents at T in the figure? A. 90° B. 75° C. 60° D. 3
    9·1 answer
  • IF s = -4 and t = 2 , what is 3s + 6t?​
    9·1 answer
  • On a piece of paper graph f(x) = 3x if x&lt;3 2x if x&gt;3 then determine which answer choice matches the graph you drew
    10·1 answer
  • What is the answer to r - 4.5 &lt; 11
    9·1 answer
  • Will mark brainless!!! 7. Step 2: Calculate the perimeter of DEF using the scale factor.
    8·1 answer
  • Simplify b^10/b^2<br><br> A. b^5<br><br> B. b^-5<br><br> C. b^8<br><br> D. b^-8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!