A recent survey found that 85 % of households had Internet access and 81 % of households had cable television. Also, it was reported that 72 % of the households in the survey had both Internet and cable television. Determine the probability of selecting a household that had either Internet access or cable television.

Question

tracidj2814 tracidj2814

05-07-2019
Mathematics

contestada

A recent survey found that 85 % of households had Internet access and 81 % of households had cable television. Also, it was reported that 72 % of the households in the survey had both Internet and cable television. Determine the probability of selecting a household that had either Internet access or cable television.

Respuesta :

Otras preguntas

Has been designed to keep a check on people with driving violations

why is respiration different to breathing

Brainlist answer to whoever actually gets this right.

A controversial issue tends to cause

Would anyone know the correct answers to these three math questions? What is the sum of the measures of the interior angles of a 21-gon? What is the measure of

Which expression does not belong with the other three? justify your response. 6²- 9 3³ (5+4)² ÷ 3 4x5+9

A patient has a cytopathology study performed by a fine needle aspiration. the results are quite unusual and the slides as well as a copy of pertinent informati

Which of the following is equivalent to ^5 √13^3

Which of these is most likely to lead someone to decrease his or her level of physical activity? A. Noticing an advertisement for a new movie at the local t

consider the table below x y 0 3 1 6 2 r What value of r will make the table a representation of an exponential function? explain your answer

windyyork windyyork · Answer 1 · 2019-07-11T10:11:21+02:00

Answer: Probability that either had Internet access or had cable television is 94%.

Step-by-step explanation:

Since we have given that

Probability of households had internet access P(I) = 85% = 0.85

Probability of households had cable television P(C) = 81% = 0.81

Probability of households had both Internet and cable television P(I ∩ C) = 72% = 0.72

We need to find the probability that either had Internet access or had cable television.

As we know the formula:

P(I ∪ C)=P(I) + P(C) - P(I ∩ C)

[tex]P(I\cup C)=0.85+0.81-0.72\\\\P(I\cup C)=0.94=94\%[/tex]

Hence, our required probability is 94%.

astha8579 astha8579 · Answer 2 · 2022-02-16T06:46:27+01:00

Probability of some event indicates its change of occurrence as an outcome. The probability of selecting a household that had either internet access or cable television is 0.94 = 94%

For such cases when two events and their probabilities (of occurring together or occurrence of either of them) are discussed, we can use the addition rule of two events.

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

How to convert percent to probability?

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

Let we take

A = A household having internet access

B = A household having cable television

Then, we have:

[tex]P(A) = 85\% = 0.85\\P(B) = 81\% = 0.81\\P(A \cap B) = P(\text{A household having both internet access and cable television})\\P(A \cap B) = 72\% = 0.72[/tex]

Using the addition rule of probability, we get:

[tex]P(\text{A household having either internet access or cable television}) = P(A \cup B)\\\\P(A \cup B)= P(A) + P(B) + P(A \cap B)\\P(A \cup B) = 0.85 + 0.81 - 0.72 = 0.94[/tex]

Thus,

The probability of selecting a household that had either internet access or cable television is 0.94

Learn more about addition rule of probability here:

https://brainly.com/question/10749209