Question

In: Statistics and Probability

In a poll, respondents were asked whether they had ever been in a car accident.


Find the indicated probability. 

In a poll, respondents were asked whether they had ever been in a car accident. 473 respondents indicated that they had been in a car accident and 243 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?

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Expert Solution

In a poll, respondents were asked whether they had ever been in a car accident. 473 respondents indicated that they had been in a car accident and 273 respondents said that they had not been in a car accident. Now one of these respondents randomly selected.

We want to find the probability that, getting someone who has been in a car accident.

Here, total number of respondents = 473 + 243 = 716

A: Event denoting that getting someone who has been in a car accident.

Now, Probability of event A is given by classical definition of probability,

P(A) = ( Number of outcomes favorable to the event A ÷ Number of total outcomes in sample space )

[ Now form the given Information we see that,

Number of outcomes favorable to the event A = Number of respondents indicated that they had been in a car accident = 473

And

Number of total outcomes in sample space = Total number of respondents = 716 ]

So,

=> P( Getting someone who has been in a car accident )

[ Up to 4 decimal places ]

Answer:- Probability of getting someone who has been in a car accident is 0.6606 [ Up to 4 decimal places ]

orchestra answered 2 years ago
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