Basic Statistics20825 marksNumerical: Binomial probability distributionBinomial distribution
It is observed that 80% of television viewers watch an entertainment channel. What is the probability that at least 80% of the viewers in a random sample of five watch an entertainment channel?
It is observed that 80% of television viewers watch an entertainment channel. What is the probability that at least 80% of the viewers in a random sample of five watch an entertainment channel? [5]
- Population proportion watching entertainment channel: $p = 0.80$ - Probability of not watching: $q = 1 - p = 0.20$ - Sample size: $n = 5$ - Required: $P(\text{at least } 80% \text{ of sample watch})$ Distribution: Let $X$ = number of viewers (out of 5) who watch the entertainment channel. Sinc...