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
Yakvenalex [24]
3 years ago
9

A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil

dren as high as 13.5%13.5% in 2014. Imagine a classroom of 2020 children in one such area where 13.5%13.5% of children are unvaccinated. If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent. (a) Obtain the probability that none of the 2020 children in such a classroom would be unvaccinated. (Enter your answer rounded to three decimal places.)
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

                   children are unvaccinated, i.e; p = 13.5%

<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

                          =  1\times 1 \times 0.865^{20}

                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

You might be interested in
Are all irrational numbers real numbers. If so , why
Elena L [17]
Yes, all numbers are real numbers because a number is a number, and nothing can change that. I hope this helps you!











5 0
3 years ago
Classify the triangle by it's angels and sides. Explain how you knew which classifications to use. 8, 70 degrees, 11, 45 degrees
anzhelika [568]

The angles degrees are all less than 90 degrees. Therefore the triangle is an acute triangle

7 0
3 years ago
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
PIT_PIT [208]

Answer:  The approximate area of the circle is:  <span>3,629.84 cm² .</span>
______________________________________________________
Area of a circle, "A" :  A = π * r² ;

  in which: A = Area of circle ;
               π <span>≈ 3.14 ; 
</span>               r = radius; 

radius of a circle, "r" = d / 2  ;  in which:  "d = diameter" ;

Given "d = 64 cm " ; 
         
                       r = d / 2 = 64 cm / 2 = 32 cm ;
____________________________________________
   So;    A = π * r²  ;
 
            A ≈ (3.14) * (32 cm)² ;
 
            A ≈ (3.14) * (1156 cm²) ;
_____________________________________________

            A  ≈  3,629 .84 cm²  .
_____________________________________________
3 0
2 years ago
ASAP HELPPP PLZZZZZ hurry plzzz
sleet_krkn [62]

Answer:

It's an enlargement

Step-by-step explanation:

e.g. when your pupils become dilated they enlarge

5 0
3 years ago
Read 2 more answers
Help............please
marin [14]

Answer:

k=5

Step-by-step explanation:

subtract 14 from both sides

4 0
2 years ago
Read 2 more answers
Other questions:
  • Luis counts the total number of ducks swimming on a pond each day. On Monday he counts 1 duck. On Tuesday he counts 2 ducks. On
    15·2 answers
  • Solve each equation and check your solution:
    11·1 answer
  • HELP!!!
    9·1 answer
  • The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a 95 . Chris scored high
    6·1 answer
  • Pls help 72 points given!
    14·1 answer
  • Larry rolls 2 fair dice and adds the results from each.
    15·1 answer
  • Where do i make the jumps?
    14·2 answers
  • Examples of long division?
    13·1 answer
  • what is the sum of the measures of the angles of a convex quadrilateral? will this property hold if the quadrilateral is not con
    13·1 answer
  • What is center: (-4,-12) Radius: 4 ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!