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
Aloiza [94]
3 years ago
8

manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasin

g a batch of 2000 cameras, applies the following sample plan: They randomly select 20 cameras and accept the whole batch if there are more than 17 working cameras. What is the correct probability statement for the company to accept the whole batch
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) nCr q^{r} p^{n-r}

nCr = \frac{n!}{(n-r)!r!}

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = 20C18 * 0.97^{18} * 0.03^{20-18}

P(X=18) = 20C18 * 0.97^{18} * 0.03^{2}

P(X=18) = 0.0988

P(X=19) = 20C19 * 0.97^{19} * 0.03^{20-19}

P(X=19) = 20C19 * 0.97^{19} * 0.03^{1}

P(X=19) = 0.3364

P(X=20) = 20C20 * 0.97^{20} * 0.03^{20-20}

P(X=20) = 20C20 * 0.97^{20} * 0.03^{0}

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

You might be interested in
Someone help me with problem 7
k0ka [10]
8 ≥ y + 3 is the answer to problem 7. Also, in problem 5, I couldn't help but notice that the sign should face the other way but still include the equal to sign underneath it, because it should be 4 at MOST, meaning that 4 must be greater than or equal to y + 7.
5 0
3 years ago
What is 30/25 as a percentage?​
netineya [11]

Answer:

120%

Convert fraction (ratio) 30 / 25 Answer: 120%

3 0
3 years ago
Read 2 more answers
Help please and make sure the answer is right! Please :(
likoan [24]

You see how these 2 angles marked are both inside the 2 parallel lines?

And they are on opposite side of the transversal, the line crossing the 2 parallel lines?

These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.

8 0
3 years ago
Which statements are true about the place values in the number 99.999? Choose all answers that are correct. A. The 9 in the hund
In-s [12.5K]
B and b only but pls check
4 0
3 years ago
Read 2 more answers
Select the correct answer.
olganol [36]

Answer: transportation

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • If a circle has an area of 49π what is the circumference of the circle ?
    8·1 answer
  • Simplify.<br><br> |-10| + |5|<br> A) -15 <br> B) -5 <br> C) 5 <br> D) 15
    15·2 answers
  • What is the distance between (8, -3) and (2, 5)
    11·1 answer
  • Evaluate the expression below at x=5 (2x-5) (x-1) PLEASE HELP FASTT
    12·1 answer
  • Look at the diagram which of the following is a pair of vertical angles
    5·1 answer
  • -1/3 = r - 3/4 What is r?
    15·1 answer
  • Explain why sides that are next to each other in a net have the same side lengths?
    13·1 answer
  • The amount of mineral water consumed by a person per day on the job is normally distributedwith mean 19 ounces and standard devi
    8·1 answer
  • How do you do this 1 <br> 2<br> 3<br> − <br> 6<br> 7<br> =
    9·1 answer
  • For its year-end model clearance sale, a new auto dealership is offering a 2-year lease with $1,999.00 due at
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!