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
gavmur [86]
3 years ago
10

In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

s proposed making gun ownership illegal in the town. It is known that 75% of democrats and 30% of republicans support this measure. If a resident of the town is selected at random.
(a) what is the probability that they support the measure?
(b) if the selected person does support the measure what is the probability the person is a democrat?
(c) if the person selected does not support the measure, what is the probability that he or she is a democrat?
Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

You might be interested in
Ben sells homemade cards at a craft fair. He wants to earn more than $50 at the fair. He sells his cards for $2 and he has alrea
Kryger [21]

Answer:

He must sell 8 cards to reach the minimum goal.

Step-by-step explanation:

Giving the following information:

He wants to earn more than $50 at the fair.

He sells his cards for $2 and he has already earned $36.

<u>First, we need to calculate the money required to reach the minimum goal:</u>

51 - 36= $15

<u>Now, we write the inequality:</u>

2*x >15

x= number of cards sold.

x>15/2

x> 7.5

He must sell 8 cards to reach the minimum goal.

7 0
3 years ago
Find the value of z in the isosceles triangle shown below.<br> V20<br> V20<br> 8
Andrews [41]

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

5 0
3 years ago
The American Heart Association recommends that you consume less
Ann [662]
1500 - 400 = how much sodium u can consume for the rest of the day
6 0
3 years ago
8+4(s-4t) simplify the expression. HELP, 20 POINTS
ella [17]
8+ 4s -16t= 4 (2+s-4t)
5 0
3 years ago
Put the following list of numbers in ascending order. 1.2, 0, -0.4, -2.6, 0.8
NeX [460]

Answer:

-2.6, -0.4, 0, 0.8, 1.2

Step-by-step explanation:

ascending just means smallest to biggest, so start with the lowest negative and work up

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the following inequality 3x + 12 ≥2(4x + 3) −21<br><br> Help I need the answer ASAP
    14·1 answer
  • What is the surface area of the solid that this net can form?
    11·2 answers
  • The cost y (in dollars) to rent a bicycle is proportional to the number x of hours that the bicycle is rented. It costs $24 to r
    15·1 answer
  • What temperature is ten degrees higher than -7c
    9·2 answers
  • Can somebody please help me ( picture above )
    11·2 answers
  • A colony of 21,300 bacteria doubles in size every 260 hours. What will the population be 520
    14·1 answer
  • The product of the sum of a and b and their difference.
    5·1 answer
  • What is 157.93+23.5=
    11·2 answers
  • Counting with combinations
    9·1 answer
  • Pls pls pls help meee plssss
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!