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
Phoenix [80]
3 years ago
14

A survey is conducted to find out whether people in metropolitan areas obtain their news from television (Event T), an newspaper

(Event N), or radio (Event R). The results show that 70% of people get news on television, 62% from newspapers, 46% from radio, 42% from television and newspapers, 26% from television and radio, 18% from newspapers and ratio, and 3% from television, newspapers and radio.e) Given that TV is a news source, what is the probability that radio is not a news source?f) Given that newspaper is a news source, what is the probability that TV is not a news source?g) Given that newspaper is a news source, what is the probability that radio is not a news source?h) Given that both newspaper and radio are news sources, what is the probability that TV is not a news source?
Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

e) P ( R' | T ) = 0.62857

f)  P ( T' | N ) = 0.32258

g)  P ( R' | N ) = 0.70968

h) P ( T' | N&R ) = 5/6

Step-by-step explanation:

Given:

- The probability of Television as news source P ( T ) = 0.7

- The probability of Newspaper as news source P ( N ) = 0.62

- The probability of Radio as news source P ( R ) = 0.46

- The probability of Television & Newspaper as news source P (T&N) = 0.42

- The probability of Television & Radio as news source P (T&R) = 0.26

- The probability of Radio & Newspaper as news source P (R&N) = 0.18

- The probability of all 3 as news source P ( T & R & N ) = 0.03

Find:

Given that TV is a news source, what is the probability that radio is not a news source?

Given that newspaper is a news source, what is the probability that TV is not a news source?

Given that newspaper is a news source, what is the probability that radio is not a news source?

Given that both newspaper and radio are news sources, what is the probability that TV is not a news source?

Solution:

- We will first compute the individual probability of each event occurring alone.

   P (Television is the only news source) = P(T) - P(T&R) - P(T&N) + P(T&N&R)

   P ( Only Television ) = P ( only T ) = 0.7 - 0.42 - 0.26 + 0.03 = 0.05

   P (Newspaper is the only news source) = P(N)-P(N&R)-P(T&N)+P(T&N&R)

   P ( Only Newspaper ) = P ( only N ) = 0.62 - 0.18 - 0.42 + 0.03 = 0.05

   P (Radio is the only news source) = P(R) - P(T&R) - P(N&R) + P(T&N&R)

   P ( Only Radio ) = P ( only R ) = 0.46 - 0.26 - 0.18 + 0.03 = 0.05

- Now for part e)

   We are asked for a conditional probability of the form as follows:

            P ( R' | T ) = P ( R' & T ) / P ( T )

   First compute the probability that next news source is not Radio provided it is already a source of TV.                              

            P ( R' & T ) =  P( only T ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | T ) = 0.44 / 0.7

            P ( R' | T ) = 0.62857

- Now for part f)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N ) = P ( T' & N ) / P ( N )

   First compute the probability that next news source is not TV provided it is already a source of Newspaper.                              

            P ( T' & N ) =  P( only N ) + P ( only R & N ) = 0.05 + 0.18 - 0.03 = 0.2

Hence,

           P ( T' | N ) = 0.2 / 0.62

           P ( T' | N ) = 0.32258

- Now for part g)

   We are asked for a conditional probability of the form as follows:

            P ( R' | N ) = P ( R' & N ) / P ( N )

   First compute the probability that next news source is not Radio provided it is already a source of Newspaper.                              

            P ( R' & N ) =  P( only N ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | N ) = 0.44 / 0.62

            P ( R' | N ) = 0.70968

- Now for part h)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N&R ) = P ( T' & N & R) / P ( N & R )

   First compute the probability that next news source is not TV provided it is already a source of both radio and Newspaper.                              

            P ( T' & N & R) = P ( only N & R ) = 0.18 - 0.03 = 0.15

Hence,

            P ( T' | N&R ) = 0.15 / 0.18

            P ( T' | N&R ) = 5/6

You might be interested in
What is y=5x+3 when the x variable is 1
ikadub [295]
The answer is 8 y=8 very easyyyy
3 0
3 years ago
Read 2 more answers
A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?​
snow_tiger [21]

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

7 0
2 years ago
Read 2 more answers
Can u guys help me find the answer please?
In-s [12.5K]

Answer:

6x4=24 for 1 side

24x5=120 for total surface area of I'm not mistaken...

3 0
2 years ago
In 2 years i will be twice as old as i was 5 years ago. how old is susie
beks73 [17]
10 because 5×2 is equal to 10
4 0
2 years ago
Help plsss!!!!! Urgent question now
lbvjy [14]

Answer:

<1 and <3

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Can an exponent be negative
    14·2 answers
  • SOMEONE ANSWER PLEASE!!!!!
    9·2 answers
  • What is the cube root of 512m^12n^15?<br> -16m^4n^5<br> -8m^5n^4<br> 8m^4n^5<br> 16m^5n^4
    10·1 answer
  • Find the minimum value of the function f (x) = 2x² + 11.4x + 18.5 to the<br> nearest hundredth.
    15·1 answer
  • A pet store has two tanks of tropical fish. The first tank contains 2 blue fish and 7 yellow fish and the second tank contains 6
    9·1 answer
  • Find the zeroes of the given polynomials.
    15·2 answers
  • 1st giveaway of the day I do at least 2 every weekday so pls friend to know when I post You can steal points or give me answer f
    14·2 answers
  • sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is b
    12·1 answer
  • (b) Jac thinks of a number,<br> 25% of his number is 35.<br> What is 1/10 of Jac's number?
    12·1 answer
  • You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!