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
tino4ka555 [31]
2 years ago
13

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired

, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty? (Round your answer to three decimal places.)
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
4 0

Answer:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

You might be interested in
How do you write 10,000,000 in expanded form
Harman [31]
It 10,000,000 because there is no way that it can be in expanded form
4 0
3 years ago
Read 2 more answers
Write a polynomial in factored form.
enyata [817]

Answer:

f(x)= x^3

Step-by-step explanation:

5 0
2 years ago
Help me with this question, please
anzhelika [568]

Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

<u>Part 1</u>

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

\frac{3x}{3} = \frac{-12+6y}{3}

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

<u>Part 2</u>

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

7 0
2 years ago
Trying to find the x
Lapatulllka [165]

Step-by-step explanation:

why .....................

7 0
2 years ago
What do you call a destroyed angle joke
8090 [49]

Answer:

Step-by-step explanation:

A destroyed angle is called to as a rect-angle.

It's a pun on the "wreck"tangle

5 0
1 year ago
Other questions:
  • A line has a slope of seven and a Y intercept of -10 what is it equation in slope intercept formI want to has a slope of seven a
    5·1 answer
  • A number decreased by 16 is -26. Find the number
    10·1 answer
  • PLEASE HELP ASAP IM GIVING AWAY FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWER!!!!
    5·2 answers
  • The Seminole corporation has income before tax of $150,000.00 and taxable income of $65,000.00. The income tax rate is 35 percen
    6·2 answers
  • Which expression has a negative value?
    10·2 answers
  • 2 1/2 mi = blank feet
    6·2 answers
  • A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other co
    6·1 answer
  • In which step did Helena make an error
    11·1 answer
  • A rectangle is 12 feet long and 34 feet wide. What is the area of the rectangle? Enter your answer as a fraction in simplest for
    15·1 answer
  • Help with algebra class please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!