Answer :
The given case satisfies the condition of Binomial Experiment so we can use the Binomial Probability to answer this question.
Conditions for a Binomial Experiment are:
1) The sample is simple random sample
2) The probability of success is constant
3) The trials are independent
4) There are a fixed number of trials
Probability of success on a single trial = p = 0.382
Number of trials = n = 3
Number of successful trials= x = 3
The formula of the Binomial probability is:
P( 3 out of 3 success) = [tex]3C_{3} p^{3} (1-p)^{3-3} [/tex]
Using the values, we get:
P (3 out of 3) = 0.557 = 5.57%
Thus the probability that all three households viewed this special show is 5.57%
Conditions for a Binomial Experiment are:
1) The sample is simple random sample
2) The probability of success is constant
3) The trials are independent
4) There are a fixed number of trials
Probability of success on a single trial = p = 0.382
Number of trials = n = 3
Number of successful trials= x = 3
The formula of the Binomial probability is:
P( 3 out of 3 success) = [tex]3C_{3} p^{3} (1-p)^{3-3} [/tex]
Using the values, we get:
P (3 out of 3) = 0.557 = 5.57%
Thus the probability that all three households viewed this special show is 5.57%