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
katrin [286]
3 years ago
7

A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs

is 1 or more, the lot fails inspection. Suppose 30% of the bulbs in the lot are defective.
Required:
What is the probability that the lot will pass inspection?
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer:

0.0016 = 0.16% probability that the lot will pass inspection.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used 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.

Sample of 18 light bulbs

This means that n = 18

30% of the bulbs in the lot are defective.

This means that p = 0.3

What is the probability that the lot will pass inspection?

It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So

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

P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016

0.0016 = 0.16% probability that the lot will pass inspection.

You might be interested in
Anarime estimates that of people booked on the fights actually show up in the e books 70 people on a fight for which the maximum
Mandarinka [93]

Answer:

An airline estimates that 94% of people booked on their flights actually show up. If the airline books 77 people on the flight for which the maximum number is 75, what is the probability that the number of people who show up will exceed the capacity of the plane?

-------------------------

Binomial Problem with n = 77 and p = 0.94

---

P(76 <= x <= 77) = 1-P(0 <=x <= 75) = 1 - binomcdf(77,0.94,75) = 0.0504

==================

Cheers,

Stan H.

3 0
3 years ago
URGENT HELP What is the equation of the line that passes through the point (-7, -4) and has a
shepuryov [24]

The final equation is:

y=x+3

Further explanation:

The general form of equation of a line in slope-intercept form is:

y=mx+b

Here m is the slope

Given

m=1

(x,y) = (-7,-4)

Putting\ the\ value\ of\ slope\ in\ equation\\y=(1)(x)+b\\y=x+b

To find the value of b, we have to put the point in the equation

-4=-7+b\\-4+7=b\\b=3

The final equation is:

y=x+3

Keywords: Slope-intercept form, equation of line

Learn more about slope-intercept form at:

  • brainly.com/question/6594923
  • brainly.com/question/6698921

#LearnwithBrainly

7 0
3 years ago
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In th
irinina [24]
I had this same question yesterday it was c 2x+3x+9x
6 0
3 years ago
Read 2 more answers
If 4.5 pounds of chocolate cost $10, how
allsm [11]

I think 5.4

4.5÷10= 0.45

0.45x12=5.4

3 0
3 years ago
PLZZZZZZZ HELP MEEEEE
Varvara68 [4.7K]

The answer would be D.

3 0
3 years ago
Other questions:
  • Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she ex
    12·2 answers
  • I really need help on this one
    7·1 answer
  • M(x) = 2.50x and the cost c(x) = 0.5x + 40
    9·1 answer
  • Sorry im not smart. will give brainliest
    6·2 answers
  • comparing across all counties in the state of ohio, Hocking county has the highest prevalence of obesity. In hocking county, the
    13·2 answers
  • X^2+y^2-10x-16y+53=0<br> What is the center of the circle?<br> What is the radius of the circle?
    13·1 answer
  • In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°
    9·2 answers
  • Divide 30 by half and add 12. What do you get?​
    15·2 answers
  • PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
    8·1 answer
  • Help please asap geometry
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!