The time it takes a wholesaler to fill an order follows a uniform distribution from three to six days What is the probability that they will fill an order between day 3 and 5?

The random variable X, representing the number of items sold in a week, has the following probability distribution:x 0 1 2 3 4 5 6P(X = x) 0.10 0.20 0.40 0.15 0.05 0.05 0.05By the fourth day of a particular week, 3 items have already sold. What is the probability that there will be less than a total of 5 items sold during that week? 1.00 0.95 0.90 0.85 0.67

Students arrive at Central Library at an average of 15 per quarter of the lunch hour. What is the probability that the next student will arrive within 5 minutes? ( round your answer to four decimal places)

A company responds to 80% of all enquiries within 2 working days. The firm received 8 enquiries today. What is the probability that all the 8 enquiries are responded within 2 working days?

The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days.The probability is 0.997 that a bill will be received between which of the following number of days? (13, 49) (19, 43) (25, 37)

At a dress shop, it is noticed that 120 people are arriving in 2 hours. Given this what is the probability that, during 1 minute period, exactly 5 people arrive. Use Poisson Distribution and round your answer to four decimal places.