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
Vladimir [108]
3 years ago
14

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

Mathematics
2 answers:
weeeeeb [17]3 years ago
5 0
67% (0.67) because 30% like brand a and 20% of people are females that like brand A so 20:30 is 2/3 which is 0.6 repeating which rounds to 0.67
victus00 [196]3 years ago
3 0

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

You might be interested in
PLz help awarding brainlest to best answer
Pie

Answer:

6, 5, 1, 7, 9, 2, 4, 8, 3.

Step-by-step explanation:

(from top to bottom, this should be right)

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAIINLIEST ANSWER Tomas is at least 7 years older than Larry. If Tomas is 16 years old, how old is Larry?
ra1l [238]
Larry - ( 9 years old )
8 0
3 years ago
Calculate p² +3q when p=2 and q=2​
QveST [7]

Answer:

10

Step-by-step explanation:

p² +3q

= 2² +3*2

=4 + 6

=10

4 0
3 years ago
Read 2 more answers
What two numbers multiplies to 36 and add to negative 21
anastassius [24]
Factor 36 and add them, make sure both are negatie
1+36=37, nope
2+18=20 nope
3+12=15,nope
4+9=13, nope
6+6=12, nope

the closest one is 20

I hope you meant adds to -20, because if you did, then answer is -2 and -18

if you did mean 36 and adds to -21, then the numbers are \frac{-21-3 \sqrt{33} }{2} and \frac{-21+3 \sqrt{33} }{2}, aprox -19.1168 and  -1.8831
6 0
3 years ago
Need some help please...
Nesterboy [21]

Answer:

C: Starting at 1103 you gain 91 feet each additional hour of climing.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Answer the following questions about the problem above. Write in complete sentences to get full credit.
    6·1 answer
  • Can someone please help me with this math problem?? Number 13
    6·2 answers
  • What is the solution to the division problem? Enter numbers in the boxes to complete the problem.​
    11·2 answers
  • Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.
    12·1 answer
  • Braden is 20 years old Michelle is 17 years old how many years ago was braidens Age 2 * Michelle's
    14·1 answer
  • Mass = 100g, Volume = 20ml, what is density?​
    13·2 answers
  • What is the length (magnitude) of the vector (7, -2)?
    14·2 answers
  • What is the geometric mean between 7 and 12
    5·2 answers
  • Given m \\ n find the value of x and y
    14·1 answer
  • Select the correct answer from the drop-down menu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!