In: Statistics and Probability
1) A small regional carrier accepted 14 reservations for a
particular flight with 13 seats. 10 reservations went to regular
customers who will arrive for the flight. Each of the remaining
passengers will arrive for the flight with a 42% chance,
independently of each other.
Find the probability that overbooking occurs.
Find the probability that the flight has empty seats.
2) The mean daily production of a herd of cows is assumed to be
normally distributed with a mean of 35 liters, and standard
deviation of 4.7 liters.
What is the probability that daily production is between 29.4 and
31.3 liters? (Round your answer to 4 decimal
places.)