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
Elena L [17]
3 years ago
10

A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run

: probability of no defective tires: 10%; probability of 1% defective tires: 30%; probability of 2% defective tires: 40%; probability of 3% defective tires: 20%. When a defective tire is detected, it must be removed from the assembly line and replaced. This process adds an extra $5 to the cost of the replaced tire. What is the expected cost to the company of a batch of 3000 tires?
Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

The expected cost of the company for a 3000 tires batch is $120255

Step-by-step explanation:

Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires  is 3000p.

Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are A_1,\dots, A_n events that partition the whole sample space, and we have a random variable X over the sample space, then

E(X) = p(A_1)E(X|A_1) + \dots + p(A_n)E(X|A_n).

So, in this case, we have the following

E(X) = P(p=0\%)E(X|p=0\%)+P(p=1\%)E(X|p=1\%)+P(p=2\%)E(X|p=2\%)+P(p=3\%)E(X|p=3\%) = 0.1\cdot 3000\cdot 0 + 0.3\cdot 3000\cdot 0.01+ 0.4\cdot 3000\cdot 0.02+ 0.2\cdot 3000\cdot 0.03 = 51.

Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.

Finally, note that the cost of the batch would be 40Y+45X. Then

E(40Y+45X) = 40E(Y)+45E(X) = 40\cdot 2949+45\cdot 51=120255

You might be interested in
Please, please help me!
7nadin3 [17]
<span>Triangle ABC is congruent to triangle DEF

</span>m<A = m<span><D
</span>m<B = m<span><E
</span>m<C = m<span><F

AB = DE
BC = EF
AC = DF

So answer: 
</span>m∠C=m∠F
4 0
3 years ago
1
elena55 [62]

Answer:

||| First row: 11 -20 23 ||| Second row: -21 5 -24 ||| Third row: 6 9 -14 |||

Step-by-step explanation:

I wish I could explain it better, but all I did was plug it into matrix A on:

https://atozmath.com/matrix.aspx?q=minor

I pressed "find" without changing any of the settings, and scrolled down until I saw what was in the attached screenshot.

Each of the rows correspond to the first, second, and third answers, as you can see.

I hope this helps!

8 0
3 years ago
HELPPPPPPPPPPPP!!!!!!!!!!!
xenn [34]

Answer:

20^4

Step-by-step explanation:

2^4x10^4=160000

20^4=160000

7 0
3 years ago
HELP ASAP INCLUDE WORK I WILL MARK BRAINLIEST
Troyanec [42]
Step 1 is to find how far apart W and Y are:
-7 - (-31) = 24

Now find 1/8 of that distance: 1/8 • 24 = 3

Now move 3 units from -31 towards -7: -31 + 3 = -28
3 0
3 years ago
Which value of b would make x²+bx-30 factorable?<br> A. -31<br> B. -17<br> C. 11<br> D. 13
dimulka [17.4K]

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b±\sqrt{b^{2}-4ac} /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since \sqrt{13^{2}-4*1*(-30) = \sqrt{289} = 17. So b=13.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of the missing side of the triangle? 24,66 29.15 26.5 30.6
    6·1 answer
  • 50 POINTS!!!
    7·1 answer
  • 9 divided by blank equals 5/9 what is the blank?
    5·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    11·1 answer
  • Subtract, 43 min 50 s - 4 min 8 s 43 min 49 s 39 min 35 s d. 39 min 42 s b. 51 min 42 s Please select the best answer from the c
    8·1 answer
  • UNIT TEST HELP PLS
    13·1 answer
  • I want to buy as much taco bell as I can with my $17. I want to order 6 tacos. I also
    10·2 answers
  • When is it more beneficial to solve a problem involving a proportional relationship using an equation than using a graph?
    9·1 answer
  • *ANSWER ALL 3 QUESTIONS*
    11·2 answers
  • Geometry: fill in the blanks (ASAP! It’s urgent)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!