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
If i have 37 test and i do 12 test a week how many weeks its gonna take
daser333 [38]

Answer:

4 weeks

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the factored form of the expression? k2 – 9h2
VARVARA [1.3K]
The factored form of this expression would be :

(k-3h)(k+3h).
4 0
3 years ago
Read 2 more answers
Help :( ik I asked a questions a few mins ago my brain just isn’t it today
ELEN [110]
I can’t see your scream is crack
7 0
2 years ago
Pa answer po thank you <br><br><br><br>​
Arisa [49]

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

4 0
2 years ago
You want to study how the number of popped kernels in a microwave popcorn bag is affected by brand, microwave power, and time in
Afina-wow [57]

Answer:

Number of unique treatment combinations  = 8

Step-by-step explanation:

Given:

Number of brands = 3

Number of power settings = 2

Number of microwave times = 3

Find:

Number of unique treatment combinations.

Computation:

Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times

Number of unique treatment combinations = 3 + 2 + 3

Number of unique treatment combinations = 8

8 0
3 years ago
Other questions:
  • The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and t
    11·2 answers
  • Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long
    7·1 answer
  • Chrissy has 4 white towels ,2 yellow towels and 3 blue towels in a bag what is the probability that the first towel chosen at ra
    5·1 answer
  • Solve the system of equations<br> .625x - y = -9.625<br> -65x - y = -5
    6·1 answer
  • Write an equation to express the value of h+k
    9·1 answer
  • A triangle has angle measurements of 30°, 70°, and 80°. What kind of triangle is it?
    12·1 answer
  • Whoever answers gets brainlist!
    13·1 answer
  • Amy fills an ice cream cone to the top edge. The diameter of the ice cream cone is 2 inches and its height is 6 inches. Don fill
    9·2 answers
  • While holding her puppy, Tammy steps on a scale. The scale reads 127 pounds. Alone, Tammy weighs 112 pounds. Write and solve an
    7·1 answer
  • A relatively prime date is a date for which the number of the month and the number of the day are relatively prime. For example,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!