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
Harrizon [31]
3 years ago
15

Based on a poll, among adults who regret getting tattoos, 22% say that they were too young when they got their tattoos. Assume t

hat nine adults who regret getting tattoos are randomly selected. Find the indicated probability in parts a through d.A) Find the probability that none of the selected adults say that they were too young to get tattoos.B) Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.C) Find the probability that the number of selected adults saying they were too young is 0 or 1.D) It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

a) 10.69% probability that none of the selected adults say that they were too young to get tattoos.

b) 27.13% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 37.82% probability that the number of selected adults saying they were too young is 0 or 1.

d) No, because P(X \leq 1) > 0.05

Step-by-step explanation:

For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young when then got their tattoos, or they do not say this. The probability of an adult saying hat they were too young when then got their tattoos is independent from other adults. So we use the binomial probability distribution to solve this question.

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.

22% say that they were too young when they got their tattoos.

This means that p = 0.22

Assume that nine adults who regret getting tattoos are randomly selected.

This means that n = 9

A) Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0).

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

P(X = 0) = C_{9,0}.(0.22)^{0}.(0.78)^{9} = 0.1069

10.69% probability that none of the selected adults say that they were too young to get tattoos.

B) Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1).

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

P(X = 1) = C_{9,1}.(0.22)^{1}.(0.78)^{8} = 0.2713

27.13% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

C) Find the probability that the number of selected adults saying they were too young is 0 or 1.

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1069 + 0.2713 = 0.3782

37.82% probability that the number of selected adults saying they were too young is 0 or 1.

D) It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?

x is significantly low if

P(X \leq x) \leq 0.05

We have that

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1069 + 0.2713 = 0.3782

So 1 is not significantly low.

You might be interested in
Logx(8x-3)-logx 4=2<br> please help ill give you everything i have !!
Gelneren [198K]
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2

2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2

Answer: Two solutions: x=1/2 and x=3/2
6 0
3 years ago
Evaluate the expression when p = 4. p^2+5 no links pls ​
inna [77]

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

7 0
2 years ago
Is this relation a function? {(3, 2), (5, 9), (11, 25)}
Mumz [18]

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

4 0
2 years ago
It takes a wheel 200 feet to complete 12 revolutions. Find the length of an arc of the wheel to the nearest hundredth created by
mr_godi [17]

Answer:

  2.65 feet

Step-by-step explanation:

Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...

  (1 rad)(200 ft)/(24π rad) ≈ 2.65 ft

The length of the arc with a central angle of 1 rad is about 2.65 feet.

5 0
3 years ago
What is the slope of the line?
Elza [17]

Answer:  (2,-2)

Step-by-step explanation: give me brianlest

5 0
2 years ago
Other questions:
  • What is the result when 2x^3-9x^2+11x-6 is divided by x-3
    10·1 answer
  • If a restaurant bills totals $85, what amount should be left as a 15$ tips
    8·1 answer
  • The average rate of change of a function between x = a to x = b is f(b) - f(a) / (b - a). Now use this formula to find the rate
    15·1 answer
  • Write with a single exponent 1/10*1/10*1/10<br><br><br>Please help
    8·1 answer
  • Use the graph to write an explicit function to represent the data and determine how much money Taryn earned in week 5.
    15·2 answers
  • PLEASE HELP!!!!!!! 17 POINTS AND BRAINLIEST
    15·2 answers
  • Find the area of the composite shape below.
    5·1 answer
  • Question 4 (4 points)
    8·1 answer
  • Select each expression that is equivalent to 18x + 3.
    10·1 answer
  • 23+15=28<br> 46+52=66<br> 87+31=90<br> 72+32=45<br> 86+72=????
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!