The cbs television show 60 minutes has been successful for many years. at one time 30% of all tv sets were tuned to that show. assume that an advertiser wants to verify that 30% by conducting its own survey, and a pilot survey begins with 10 household having tv sets in use at the time of a 60 minutes broadcast. a. find the probability that none of the households are tuned to 60 minutes. b. find the probability that at least one household is tuned to 60 minutes.

a) The probability that none of the households are tuned to 60 Minutes is 2.8%

b) The probability that at least one household is tuned to 60 Minutes is 97.2%

Step-by-step explanation:

Firstly we have to find the probability that none of the households are tuned to 60 Minutes.

There is a sample of 10 households, where the probabilities of each households being tuned are independent. So, being H1 tuned or not, the probability of H2,H3,... being tuned will each be 30%.

So, each of the 10 households have 70% probability of not being tuned to 60 minutes.

This means that the probability of none of 10 households being connected is:

Now in b), the sum of all the probabilities is 100%. So, the probability that at least one household is tuned to 60 Minutes is 100% subtracted by the probability that none of the households is tuned. So

Mr. Smith

Step-by-step explanation:

Mr Smith is using the better method because he is making use of a larger number of trials such that the result of his experiment whereby he plans to flip the coin 1,000 times, will be more accurate than the result of that of Mr Jones  that only plans to flip the coin only 10 times which allows for the large number correct outcome of the flipping of the coin to balance out the few inaccuracies. Whereby when only 10 trials are used, the few number of the inaccurate outcomes will have a larger impact on the correct result of the experiment.