David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 30% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that at least 10 pay in cash?

In average the number of people entering the intensive care unit at the particular hospital on any one day is 5 persons per day. What is the probability that the number of people entering the intensive care unit one particular day is two?

According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 135 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.19? Answer = (Enter your answer as a number accurate to 4 decimal places.)

A blood test for diabetes gives a positive result with a proportion of 0.44 when an individual has diabetes and a negative result with a proportion of 0.33 when they do not. Approximately a proportion of 0.14 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.