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
Liula [17]
3 years ago
13

A civics teacher asked her students to indicate whether they believed each of two headlines. One headline was false and the othe

r was true, but the students did not know this. The probability that a student selected at random believed the true headline was 90\%90%90, percent and the probability that the student believed the false headline was 82\%82%82, percent. She found that 75\%75%75, percent of the students believed both headlines.
Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

The events are not mutually exclusive.

Step-by-step explanation:

To determine that in the sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive.

For two events, let say E₁ and E₂ are said to be mutually exclusive if they cannot both occur simultaneously. In set-theoretical notation, we can say that the two sets  E₁ and E₂ are disjoint. i.e.  E₁ ∩  E₂ = ∅ and the probability of them occurring at the same time is zero. i.e. Pr(  E₁ ∩  E₂ ) = 0

So, we can say;

Let P(true) = E₁  

P(false) = E₂

Thus; statistically:

Pr(  E₁ ∩  E₂ ) = Pr(E₁) + Pr(E₂) - P( E₁  ∪ E₂ )

So;

the probability of students that believed the true headline P(E₁) = 0.90

the probability of students that believed the false headline P(E₁) = 0.82

the probability of students that believed both P( E₁  ∪ E₂ ) = 0.75

∴

Pr(  E₁ ∩  E₂ ) = 0.90 + 0.82 - 0.75

Pr(  E₁ ∩  E₂ ) = 0.97

Thus, the events are not mutually exclusive.

You might be interested in
The price of a new car was $22,800vin April. However, the price of the car was reduced 5% in May. Find the price in May.
Levart [38]

Answer: 1140

Step-by-step explanation: Sorry if its wrong

3 0
3 years ago
Read 2 more answers
I need help what is and the solution on how to do it -16 x -18?
solmaris [256]

Answer:

288

Step-by-step explanation:

when multiplying 2 negative integers, the answer is a positive integer.

-16 × -18 = 288

8 0
3 years ago
What is 0+9+2 times 8
Anni [7]

Answer:

That would be 88!

Step-by-step explanation:

5 0
3 years ago
Which expression represents the phrase "three times the sum of a number and 4"?
Andrej [43]

Let ANY VARIABLE = a number

You did not provide a list of expressions.

Let n = a number

The sum of a number and 4 = n + 4.

We now multiply 3 times n + 4.

Answer: 3(n + 4)

6 0
3 years ago
How to solve<br> −11=n−5 divided by 6
Annette [7]

Answer:

N is -6 and -6/6 is -1

Step-by-step explanation:

You should know it now

5 0
3 years ago
Read 2 more answers
Other questions:
  • 8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin
    8·1 answer
  • 0.006772 to 1 significant number
    15·2 answers
  • $29000; 4 percent decrease
    5·1 answer
  • Express the following as decimals step by step. 3×10+4×1+7×1/10
    8·2 answers
  • X/2-1/5=x/3+1/4<br>solve this equation ​
    10·2 answers
  • Movie tickets cose $8. You want to buy as many tickets as possible with $36. Write and solve an inequality . Tell how many ticke
    10·1 answer
  • 2h - 5 - 6h = 12 + 3h - 4​
    6·1 answer
  • Solve −4&gt;x÷3 i need helpppp
    14·1 answer
  • Does anybody know the answer?
    12·1 answer
  • Napoleon Crossing the Alps
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!