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
NikAS [45]
3 years ago
14

The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood.32

(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have had chickenpox, or they have not. The probability of a person having had chickenpox is independent from other people. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

90% of Americans have had chickenpox by the time they reach adulthood.

This means that p = 0.9

Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood

This is P(X = 97) when n = 100. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 97) = C_{100,97}.(0.9)^{97}.(0.1)^{3} = 0.0059

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

You might be interested in
Graph the line 4x+y= 8 ​
olasank [31]
Slope is -4
Y-intercept is (0,8)
3 0
2 years ago
Please please help me and fast
Eduardwww [97]
Its 12. Part a was 2 part b was 3
6×2=12
4×3=12
4 0
3 years ago
|2x-5|=9 please awnser i need this for math
7nadin3 [17]

Answer:

7

Step-by-step explanation

2x = 14

divide by 2

8 0
1 year ago
Help me please geometry class
artcher [175]

Answer:

m∠ADB = 59°

Step-by-step explanation:

I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.

6 0
2 years ago
What is the value of the opposite of (-6 3/4<br> PLS GUYS I NEED HELP DO NOT STEAL MY POINTS ):
Vsevolod [243]

Answer:

c i think

Step-by-step explanation:

also hi

8 0
3 years ago
Other questions:
  • Dan Perkins goat is attached to the corner of the 8-foot-by-4-foot pump house by QN 8-foot length of rope. The goat eats the gra
    11·1 answer
  • Kennedy wants to use an internet site to sell his gmae system. the website will charge him a fee that will be deducted from the
    11·1 answer
  • The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 yea
    13·1 answer
  • P(x)=58x−311
    8·2 answers
  • What is 519.64 rounded to the nearest one?
    10·1 answer
  • Lia has 7 blue pencils and 28 red pencils. Maria has 14 blue pencils and 42 red pencils, and Tia has 10 blue pencils and 30 red
    5·2 answers
  • Does anyone know what the slope should be
    8·1 answer
  • 100 PTS
    7·2 answers
  • Find the difference <br><br><br>-2(c + 2.5) - 5(1.2c + 4)​
    5·1 answer
  • IT TUVW is reflected across the line y = .x, what are the coordinates of V'?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!