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
postnew [5]
3 years ago
8

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 19 randomly selected pens yield

s no more than two defective pens. (a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.)
Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Given Information:  

Probability of shipment accepted = p = 5%

Probability of shipment not accepted = q = 95%

Total number of pens = n = 19

Required Information:  

Probability of shipment being accepted with no more than 2 defective pens = P( x ≤ 2) = ?  

Answer:

P( x ≤ 2) = 0.933

Step-by-step explanation:

The given problem can be solved using Bernoulli distribution  which is given by

P(n, x) = nCx pˣqⁿ⁻ˣ  

The probability of no more than 2 defective pens means

P( x ≤ 2) = Probability of 0 defective pen + Probability of 1 defective pen + Probability of 2 defective pens

P( x ≤ 2) = P(0) + P(1) + P(2)

For P(0) we have p = 0.05, q = 0.95, n = 19 and x = 0

P(0) = 19C0(0.05)⁰(0.95)¹⁹

P(0) = (1)(1)(0.377)

P(0) = 0.377

For P(1) we have p = 0.05, q = 0.95, n = 19 and x = 1

P(1) = 19C1(0.05)¹(0.95)¹⁸

P(1) = (19)(0.05)(0.397)

P(1) = 0.377

For P(2) we have p = 0.05, q = 0.95, n = 19 and x = 2

P(2) = 19C2(0.05)²(0.95)¹⁷

P(2) = (171)(0.0025)(0.418)

P(2) = 0.179

Therefore, the required probability is

P( x ≤ 2) = P(0) + P(1) + P(2)

P( x ≤ 2) = 0.377 + 0.377 + 0.179

P( x ≤ 2) = 0.933

P( x ≤ 2) = 93.3%

Therefore, the probability that this shipment is accepted with no more than 2 defective pens is 0.933.

You might be interested in
When Mary and jack bought their house,their property taxes were $2650 annually. After 8years, their property taxes are now $5035
Morgarella [4.7K]
Please find the attached file of solution 

8 0
3 years ago
How do you find the vertical asymptote of a rational expression?
ElenaW [278]
Here is the answer to the question. Vertical asymptotes a<span>re vertical lines which correspond to the zeroes of the denominator of a </span>rational function. Therefore, in order to find the vertical asymptote of a rational expression, what you are going to do is to <span>set the denominator equal to 0 and solve for x. Hope this helps.</span>
5 0
3 years ago
A train travels in a straight path at a steady speed of 1.25 miles per minute. At noon, the train is 100 miles from the starting
Leto [7]
We'll take 1.25 miles as one minute (x) and take 100 as total distance (D) while T is the time it took to reach that distance.
T = D/x
putting the values in
T = 100/1.25
T = 80
80 minutes is the answer.
4 0
3 years ago
Read 2 more answers
Giving out 100 POINTS FOR THIS QUESTION!! Please don’t write nfoenwownw or something like that for the points!! I really need he
Paha777 [63]

Answer:

C) (1,0), and (-3,0)

Step-by-step explanation:

The parabola intercepts the x axis at points (1,0) and (-3,0).

8 0
3 years ago
Read 2 more answers
Solve the inequality for n 14
makkiz [27]

Answer:

14n

Step-by-step explanation:

just rearrange the number with the variable

8 0
2 years ago
Other questions:
  • Find the Vertex of 2x^2+8x+1<br> A. (-2,-7)<br> B.(1,7)<br> C.(-2,-1)<br> D.(3,-4)
    15·1 answer
  • Write <br> 17/25 as a decimal.<br> A) 0.068 <br> B) 0.68 <br> C) 1.471 <br> D) 6.8
    11·2 answers
  • What is the value of x?<br> Enter your answer in the box.
    12·1 answer
  • I need this homework
    9·1 answer
  • 5r/2-6=19<br><br> Solve with work shown
    7·1 answer
  • Ap calculus help please
    5·1 answer
  • When constructing parallel lines, how are the steps similar
    13·1 answer
  • Find the mean and median of the data set.
    5·2 answers
  • Who can help me please
    10·1 answer
  • Exponents of the multiple 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!