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
Ulleksa [173]
3 years ago
15

Stereo speakers are manufactured with a probability of 0.100.10 being defective. TwentyTwenty speakers are randomly selected. Le

t the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that p = 0.1

Twenty speakers are randomly selected.

This means that n = 20

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

E(X) = np = 20*0.1 = 2

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34

The expected value of X is 2 with a standard deviation of 1.34.

You might be interested in
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
choli [55]

Answer:

Apple

Orange

Step-by-step explanation:

Apple has the greater median with a median value of 150 which is more than that of orange at 130

The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.

Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.

3 0
3 years ago
What’s the slope of the equation y= -5x +1
slava [35]

Answer:

slope is -5

Step-by-step explanation:

y=-5x+1

This equation is in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

In the given equation, the slope is -5 and the y-intercept is 1.

8 0
2 years ago
Read 2 more answers
Please answer this in two minutes
NeTakaya

Answer:

15

Step-by-step explanation:

Use the Pythagorean Thereom:

r^{2} = 9^{2}+12^{2}

r^{2} = 81+144

r^{2} = 225

r= 15

Please mark me as Brainliest!

8 0
3 years ago
What is the scale factor for 10 cm to 5 m
IgorLugansk [536]

Answer:

2cm

Step-by-step explanation:

3 0
3 years ago
Rational numbers can be ______ or _______
chubhunter [2.5K]

Answer:

whole number or an integer.

Step-by-step explanation: hope this helps.

7 0
3 years ago
Other questions:
  • 50% of the surface area of a piece of bread is crust what is the height
    11·1 answer
  • Greta and Marge are collecting money for a local charity by taking donations outside of busy
    14·1 answer
  • Select all the equations where n=6n=6n, equals, 6 is a solution.
    13·1 answer
  • ¿Cómo se escribe una y media, media en números?
    6·2 answers
  • Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore
    12·1 answer
  • What set of transformations is performed on triangle ABC to form triangle A′B′C′?
    6·1 answer
  • WILL MARK BRAINLIEST IF RIGHT (NO LINKS)
    11·1 answer
  • Alright have posted it now.
    14·1 answer
  • Please help if you can. If possible please type how you got the answer so I can remember it next time I get a question like this
    11·2 answers
  • Can someone help me out with this ?? if u do thank u so much <3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!