Binomial Distribution 1. Tabulate the probabilities for the Binomial distributions. Give your answers rounded to three decimal places. number oftrials = 4,}? = 0.32 2. A medical treatment is successful 81% of the time. A hospital wishes to treat a group of patients. How many patients should they take so that the probability that all are cured is 0.05? 3. A drug company claims their new u vaccine cures 84% of patients. What is the probability that in a family of four people who take the vaccine: 3) none of them get the u? b) exactly one gets the u? 4.1fX~ Bi(6, 0.65), nd WP (X 1) 5. A manufacturer makes 20 000 ball point pens per day and estimates that 400 will be defective. She decides that if a random sample of 10 pens contains more than one defective pen, then she will institute quality-control measures. a) Find the probability that these measures are introduced. 6. A manufacturer of television sets knows that the probability of a defective television is 0.03. a)Find the probability that in a sample of size 50, 48 televisions are not defective