A small regional carrier accepted 18 reservations for a particular flight with 16 seats. 13 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 59% chance, independently of each other. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs.   Find the probability that the flight has empty seats.

A large bus company experience bus breakdowns at the rate of 2.5 per day. Find the probability that more than two breakdowns occur on two of the next 5 days.

A place kicker in the NFL makes 78% of his field goals. If the outcomes are independent, what is the probability that he makes exactly 6 of the next 8 field goals? Round your answer to 4 decimal places

Statistics Question

Approximately 2 percent of Americans ages 50-60 have lung cancer. A patient with lung cancer has a 91 percent chance of a positive test. A patient without lung cancer has a 8 percent chance of a positive test (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places.   Positive test result Negative test result Total Has lung cancer          Does not have lung cancer          Total         What is the probability a patient has lung cancer given that she just had a positive test?     Give answer as decimals to 4 decimal places.

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.   please write clearly thank you.