question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.



Answer :

Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.

It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4

This means that there is a 40% chance of a visitor being asked to join the survey.

Probability of an event = no. of favorable outcomes / total no of outcomes

P(E) = n(E) / n

Therefore, if the number of visitors to the website is 5,

n = 5

P(E) = 0.4

Hence,

n(E) / 5 = 0.4

or, n(E) = 0.4  X  5

or, n(E) = 2

Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.

Correct Question

The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?

(A) yes, because 2 out of 5 is equal to 40%.

(B) yes, because participants in the survey are selected at random.

(C) no, because there could be voluntary response bias.

(D) no, because only 40% of all people will visit the site.

(E) no, because 0.40 represents probability in the long run over many visits to the site.

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