Question

a tv executive is interested in the popularity of a particular streaming tv show. she has been told that a whopping 68% of american households would be interested in tuning in to a new network version of the show. if this is correct, what is the probability that all 6 of the households in her city being monitored by the tv industry would tune in to the new show? assume that the 6 households constitute a random sample of american households.

round your response to at least three decimal places. (if necessary, consult a list of formulas.)

Explanation:

Identify the parameters of the distribution

Using the Binomial Distribution knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability for all households

Using the Binomial Probability Formula knowledge point

$$
LATEXBLOCK1
$$

Round to three decimal places

Using the Binomial Probability Formula knowledge point

$$ P(X = 6) \approx 0.099 $$

Answer:

A TV executive is interested in the popularity of a particular streaming TV show. She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show? Assume that the 6 households constitute a random sample of American households.

Round your response to at least three decimal places.

<blank>0.099</blank>