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
Artist 52 [7]
3 years ago
14

From a sample with nequals=1616​, the mean number of televisions per household is 22 with a standard deviation of 11 television.

using​ chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.
Mathematics
1 answer:
zvonat [6]3 years ago
4 0
Chebyshev's inequality:
For a wide class of distributions, no more than \frac{1}{k^2} of the values can be outside of k standard deviations of the mean.

Here, 
n = 16
μ = 2
σ = 1
range iin question = 0 to 4 =2\pm2=\mu\pm\sigma
=> k=2
\frac{1}{k^2}=\frac{1}{4}
meaning that at most 1/4 of the sample is outside the given range, or 3/4 of the sample= (3/4)*16 =12 is within the given range of 0 to 4 televisions.

Answer: at least 12 out of 16 households have between 0 to 4 televisions, according to the Chebyshev's inequality.
You might be interested in
I need help draw a array to represent the problem 5 x 8
xz_007 [3.2K]
Well draw a box with 10 squares going up and 20 square is going sideways and then shade and 5/8 of it
4 0
3 years ago
May I please receive help
skad [1K]

Answer:

  • 116°

Step-by-step explanation:

Angles 1 and 3 are same as vertical pair, they are also same with angles 5 and 7 for same reason.

<u>Angle 8 is supplementary with angle 5, so:</u>

m∠1 = m∠3 = m∠5 = 180° - 64° = 116°

6 0
3 years ago
What two simpler problem can you use to find 9×38?
elena55 [62]
Just a shot in the dark: 9*30 and 9*8?
8 0
3 years ago
A small greeting card company prints and ships greeting cards throughout the year. Rodney is able to package and ship 416 cards
Rasek [7]

Answer:

52 cards/hour

Step-by-step explanation:  

                                                        416 cards

Rodney's card production rate is --------------- = 52 cards/hour

                                                          8 hours

3 0
3 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b)  P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

                         P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

                         P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

                         = (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

                         = 0.87

b) P(X ≥ 5):

            P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

            = 1 - 0.98994

            = 0.01

c) P(1 ≤ X ≤ 4):

            P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = ( 0.87 - 0.95^25) + 0.11994

           = 0.71

d) P( X = 0 )

            P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

            E(X) = n*p

            E(X) = 25*0.05 = 1.25

            σ(X) = sqrt ( Var (X) )

            σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

            σ(X) = 1.09

4 0
3 years ago
Other questions:
  • Use the original price and the markdown to find the retail price.
    14·1 answer
  • A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
    14·1 answer
  • identify a two-digit dividend that will result in a quotient with a remainder of 1 when the divisor is 4.
    11·2 answers
  • 59% of the working population attended college. If a person in the working population attended college, there is a 0.94 probabil
    9·1 answer
  • Please help me asap
    5·1 answer
  • ASAP!!! PLEASE help me with this question!!!!!
    12·2 answers
  • How many inches are in 14 feet, 8 inches? Enter only the number. Do not include units
    13·1 answer
  • Marjory practiced the piano for 12 minutes. How many seconds did she practice?
    14·2 answers
  • Who could help me please and thank you
    8·2 answers
  • A gardener is planning to fill her garden with mulch. she plots it on a grid to plan how much she will need. the garden is in th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!