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
lana66690 [7]
3 years ago
12

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

t 4848 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 30003000 aspirin tablets actually has a 55​% rate of​ defects, what is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?
Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

You might be interested in
1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is
Marta_Voda [28]
(2x)^4=16x^4
------------------------------------------
2(l+w)=16\\
l=2w+2\\\\
2(2w+2+w)=16\\
6w+4=16\\
6w=12\\
w=2\\\\
l=2\cdot2+2\\
l=6

-------------------------------------------
-3+yi=x+6i\Rightarrow x=-3 \wedge y=6
5 0
3 years ago
Select the items the crusaders brought back with them from the East.
gulaghasi [49]

Answer:Jewels, WOOL, SILK


Step-by-step explanation:

sorry for the caps







4 0
3 years ago
Read 2 more answers
What is 4,7,12,19,28 in quadratic form
Naddik [55]
Asked and answered elsewhere.
brainly.com/question/9247314

You obviously don't mind using "technology" (Brainly) to answer these questions. A graphing calculator can do quadratic regression on the sequence and tell you its formula.

If you want to do it by hand, you can write the equation
.. y = ax^2 +bx +c
and substitute three of the given points. Then solve the resulting three linear equations for a, b, and c.
.. 4 = a +b +c
.. 7 = 4a +2b +c
.. 12 = 9a +3b +c

Subtracting the first equation from the other two reduces this to
.. 3 = 3a +b
.. 8 = 8a +2b
The latter can be divided by 2, so reduces to
.. 4 = 4a +b
Subtracting the first of the reduced equations from this, you have
.. 1 = a
so
.. 3 = 3*1 +b
.. 0 = b
and
.. 4 = a + b + c = 1 + 0 + c
.. 3 = c

And your equation is
.. y = x^2 +3 . . . . . . as shown previously

7 0
3 years ago
3 times 80,000,00 equal what
RoseWind [281]

Answer:

240000000

Step-by-step explanation:

3*80000000

=240000000

7 0
3 years ago
Read 2 more answers
I need help on this one please
zepelin [54]

Answer:

here is what i think

3 0
3 years ago
Other questions:
  • = 500+ (n 1)46. Find
    7·1 answer
  • A point with a positive X coordinate and a negative Y coordinate is reflected over the Y axis which sentence describes the coord
    15·1 answer
  • A television with a 5:4 screen shows an image with a ratio of 25:12 which creates a letter boxed image. What percent of the scre
    5·1 answer
  • What is the value of x? 4/5x-1/10=3/10?
    9·2 answers
  • What is the arithmetic mean between 27 and -3
    5·1 answer
  • Which rectangular prism has the greatest volume?<br><br> Answer asap!!
    14·2 answers
  • Pls help me with this
    14·1 answer
  • Please help, test due in 1 hour and it’s a grade. Will give good review and brainliest!
    12·2 answers
  • Mateo has already swum Four-fifths of the 2,000 meters he is swimming today. If he continues swimming at a pace of Three-fourths
    5·1 answer
  • Pls help I really need the answer right now​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!