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
Julli [10]
3 years ago
14

According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate

. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

Answer:

a) 8.74

b) 2.6607

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that 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.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

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)}

According to a survey, about 19% of all Americans are without health insurance.

This means that p = 0.19

Suppose that you select a random sample of 46 Americans.

This means that n = 46

(a) Calculate the expected number of Americans without health insurance in the sample.

E(X) = np = 46*0.19 = 8.74

(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607

You might be interested in
Given AB= BC<br> FINDIND <br> X=<br> AB=<br> BC=<br> AC=
tester [92]

Answer:

see explanation

Step-by-step explanation:

Given AB ≅ BC, then

AB = BC = x + 6 , and

AC = AB + BC ← substitute values

3x - 31 = x + 6 + x + 6, that is

3x - 31 = 2x + 12 ( subtract 2x from both sides )

x - 31 = 12 ( add 31 to both sides )

x = 43

Hence

AB = BC = x + 6 = 43 + 6 = 49

AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98

8 0
3 years ago
A spinner has the numbers 1-12 what is the probability of spinning a number less than or equal to 5
valkas [14]

Answer:

5/12

Step-by-step explanation:

Assuming the each number is equally likely

1,2,3,4,5,6,7,8,9,10,11,12

There are 12 numbers on the spinner

Number less than or equal to 5: 1,2,3,4,5

There are 5 choices

P ( # < = 5) = Number less than or equal to 5/ total

                    =5/12

5 0
3 years ago
What is the slope of the line?
lana66690 [7]

Answer:

y=2x

Step-by-step explanation:

rise/run 2/1

4 0
3 years ago
Read 2 more answers
I HAVE ASKED THIS QUESTION LIKE 8 TIMES TODAY AND NO ONE WILL HELP ME:( PLEASE HELP ME I BEG YOU GUYS!!!
Sati [7]

Answer:

156.25 grams

Step-by-step explanation:

Well, for starters we know that the substance decays by 2% each day and its been decaying for 34 days. Therefore, the substance has decayed by 68%        

34 x 2 = 68

Hence, 50 grams is 32% because the substance has already decayed by 68%

100 - 68 = 32

So now we know 50 grams is 32%. Now we need to find how much 100% is.

50 - 32%

X   - 100%

We cross multiply.

50 x 100 = 5000

And divide.

5000 / 32 = 156.25

Thus, in the beginning, there were 156.25 grams in the substance.

Hope this helps! :)

8 0
3 years ago
Which number is a multiple of 4/5
Goryan [66]
4:4,8 12 16 20 24 5:10 20 25 30 35 40 45
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation is represented by the graph below? On a coordinate plane, a curve starts at (0, negative 3) in quadrant 4 and the
    9·1 answer
  • How do you find the bearing and speed of a ship?
    15·1 answer
  • Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage
    14·1 answer
  • A group of artists is selling small prints to raise money for charity. They sell p prints, and make a profit of f(p) on the sale
    5·1 answer
  • The Average cost of a long distance call in the USA was 31 cents per minute in 1978 and 8 cents in 2008. Find the approximate pe
    10·1 answer
  • Last year the robotics club had 30 members. This year the club has 24 members. Find the percent change in the number of members.
    7·2 answers
  • Two robots, Robot A and Robot B, decide to exterminate humanity. They kill 60 humans
    6·1 answer
  • Pls anwser this question pls it’s easy math I really need it look at the pic
    10·1 answer
  • Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
    12·1 answer
  • 1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lecho
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!