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
torisob [31]
3 years ago
10

roduction records indicate that 2.8​% of the light bulbs produced in a facility are defective. A random sample of 30 light bulbs

was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found.
Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer: Our required probability is 0.947.

Step-by-step explanation:

Since we have given that

Number of light bulbs selected = 30

Probability that the light bulb produced in a facility are defective = 2.8% = 0.028

We need to find the probability that fewer than 3 defective bulbs are found.

We will use "Binomial distribution":

n = 30, p = 0.028

so, P(X>3)=P(X=0)+P(X=1)+P(X=2)

So, it becomes,

P(X=0)=(1-0.0.28)^{30}=0.426

and

P(X=1)=^{30}C_1(0.028)(0.972)^{29}=0.368\\\\P(X=2)=^{30}C_2(0.028)^2(0.972)^28=0.153

So, the probability that fewer than three defective bulbs are defective is given by

0.426+0.368+0.153\\\\=0.947

You might be interested in
Explain the systematic trial method for solving equations
adoni [48]
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size.
8 0
3 years ago
Which is the best estimate for the area of the circle shown below?
Elza [17]

Answer:

c) 380 m²

Step-by-step explanation:

A = π·r²

= 3.14×121

= 379.94

≈ 380 m²

3 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP
kkurt [141]

Answer:

f(2) = 81

g(2) = 83

Science class had a higher average

Step-by-step explanation:

Given

f(x) = 0.5x + 80

g(x) table

Solving (a): f(2)

We have:

f(x) = 0.5x + 80

So:

f(2) = 0.5*2 + 80

f(2) = 1 + 80

f(2) = 81

Solving (b): g(2)

From the given table.

g(2) = 83

Solving (c): f(4) or g(4); which is greater

f(x) = 0.5x + 80

So:

f(4) = 0.5*4+80

f(4) = 2+80

f(4) = 82

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

g(x) = g(x-1)+2

So

g(4) = g(4-1)+2:

g(4) = g(3)+2

g(4) = 85+2

g(4) = 87

<em>Hence, g(4) i.e. Science class is greater</em>

6 0
3 years ago
Pls! just this question! 10 points
hram777 [196]

Answer:

A. 15

Step-by-step explanation:

Width (w): 5

Height (h): 6

Area of Triangle (A) = 1/2wh

A = 1/2(5)(6)

A = 5 x 3

A = 15 units squared

Hope this helped! <3

3 0
3 years ago
How do you solve number 27 and 28
Elanso [62]

27) if a = 1/a

multiply both sides by a

a * a = 1/a * a

a^ 2 = 1

Answer is D) 1

28)

6 x 75 = 450

7 x 80  = 560

8 x 85 = 680

9 x 90 = 810

Total all students in class = 6 + 7 + 8 + 9 = 30 students

Total score of whole class:

450 + 560 + 680 + 810 = 2500

Average = 2500 /30 = 83.3 = 83 1/3

Answer is C) 83 1/3

8 0
3 years ago
Other questions:
  • What is 2351.28 in standard form
    12·1 answer
  • I NEED HELP PLEASE ASAP! :)
    11·1 answer
  • Answer C? Reflexive SSS?
    9·1 answer
  • Kiran shops for books during a 20% off sale. Write an equation that relates the sale price, s, to the original price p.
    5·1 answer
  • Annette drives her car 105 miles and has a mean of a certain speed. if the mean speed had been 4mph more, she could have travele
    12·1 answer
  • If 5 cans of baked beans cost $2.85, how<br> many cans of baked beans can be bought<br> for $19.38?
    10·1 answer
  • PLEASE HELP!!!!
    13·1 answer
  • Add the polynomials 5x - 2 + y and -3y + 5x + 2
    8·1 answer
  • -5y? – 6y – 11 from 6y2 + 2y+5.
    8·1 answer
  • Tristan is building a triangular roof for his treehouse. He already has two pieces of lumber that measure 6 feet long. Select al
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!