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
tatuchka [14]
3 years ago
15

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

s no more than two defective pens. (a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

You might be interested in
If there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
slamgirl [31]

Answer:

Option C is the right answer.

Step-by-step explanation:

1/2 × 1/3 = 1/6

8 0
2 years ago
Read 2 more answers
Marcia bought a 50 foot roll she used two 8 and 5/6 how much if left​
inna [77]

Answer:

vvvvv

Step-by-step explanation:

I suspect two 8 means 8x2, but if it means 2+8, I'll add another answer.

1. 8x2= 16 + 5/6(.83) = 16.83 = 50-16.83= 33.17

ORRRRR

2. 2+8=10+.83= 10.83 = 39.17

8 0
3 years ago
4 children want to share 10 submarine sandwiches so that everyone gets the same amount. How much can each child have?​
kifflom [539]

Answer:

Each kid will get 2.5 submarine sandwiches

Step-by-step explanation:

4 0
2 years ago
Use the drop-down menu to complete each statement. The amount of money you earn by working is your . The percentage of people ac
Galina-37 [17]

The correct answers are:

- Wage/salary;

- Active job seekers;

The amount of money you earn by working is your wage or salary. The difference being that the wage represents the money you get paid on hourly, weekly, or monthly basis, while the salary is what you earn in year. The wages/salaries vary a lot, some being very high, some being modest, some very high, depending on the type of job, type of economy, as well as the qualifications of the worker.

The percentage of people that are actively looking for job is called active job seekers. The active job seekers can be people that are unemployed, but also people that re employed but want to work something or somewhere else. While some people struggle to find jobs and would accept almost anything, other people want to constantly progress, thus they are not satisfying with a job where they do not progress, so they seek for new challenges and opportunities.

7 0
2 years ago
Read 2 more answers
Which graph represents a linear function?
irakobra [83]

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

A linear function is a function whose graph is a straight line. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.

5 0
2 years ago
Read 2 more answers
Other questions:
  • How do you solve 40,078-18,537?
    13·2 answers
  • How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug? show work​
    12·1 answer
  • Question for Math.<br> What is 3x-1?
    7·2 answers
  • Ayo everyone what u getting for christmas
    6·1 answer
  • Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
    15·2 answers
  • How do you expand -10(4-b)
    5·1 answer
  • 50 points worth
    10·1 answer
  • Answer plsssss i need 5 more
    13·1 answer
  • The probability that a light bulb will have failed after 1000 hours of use is
    9·1 answer
  • o 0 If a triangle has angle measurements of 60 and 70°, what is the measure of the third angle? What kind of triangle is this? A
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!