In: Statistics and Probability
TTT is a television ratings company. TTT announced that on 11th of June 2020, for a specific program on DDD TV channel, 10% of all televisions in NY tuned to DDD TV channel. It is known that the similar specific program will be presented on 25th of June 2020 on DDD TV channel. What is the probability that in a random sample of 20 television sets in NY , 3 or fewer would have been tuned to DDD TV channel? Find the mean and standard deviation. Explain your solution in detail.
It is a case of Binomial distribution because the probability of an event is fixed and there are two events only, the two events are tuning into DDD TV channel, or not tuning into DDD TV channel.