Assume that random guesses are made for eleven multiple choice questions on a medical admissions​ test, so that there are n=11 trials, each with a probability of success​ (correct) given by p=0.25. Find the probability that the number x of correct answers is fewer than 4. (round to three decimal places as needed)

An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled

A group of people were asked if they had run a red light in the last year. 214 responded "yes", and 217 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.  Give your answer as a fraction or decimal accurate to at least 3 decimal places

A group of people were asked if they had run a red light in the last year. 210 responded "yes", and 354 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places