Data show that 20% of all patients who make up appointments at a primary care clinic never show up. If in a given clinic session, 15 patients make appointments, what is the probability that all patients show up?

96 percent of adults own a smart phone around the world. In a random sample of 250 adults, what is the probability that 94% or more will own a smart phone?

If 70% of a population is vaccinated, and the hospitalization rate is 5 times higher for an unvaccinated person than a vaccinated person, what is the probability that a person is vaccinated given they are hospitalized?

If there is a 10% chance it will rain each day for the next week, what is the probability that it will rain at least once?

If a seed is planted, it has a 95% chance of growing into a healthy plant.If eleven seeds are planted, what is the probability that exactly three don't grow?

A software engineer receives a notification anytime a customer sends a crash report. Suppose the software crashes 2% of the time and there are 80 customers who use the software daily. What is the probability that the software engineer receives zero crash reports on any given day?

Aaron Rodgers of the Green Bay Packers, three-time NFL MVP, completes 65% of his pass attempts. If the trials are independent, what is the probability that he will complete at least 9 of his next 10 passes?

A surgical technique is performed on seven patients. The technique has a 70% chance of success. Find the probability that the surgery is successful for at least five patients.

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

at a university, 60% of the 7400 students are female. the student newspaper reports results of a survey of a random sample of 200 students about various topics involving alcohol abuse, such as participation in binge drinking. find the probability that between 50 and 60 percent of students in a random sample of 200 are female.