Question 5 (10 marks) 5.1) A random sample of 90 people were selected to determine their preference for either Coke or Pepsi. If it is known that the probability that a randomly selected person will prefer Coke is 0.7, determine the probability of the following: 5.1.1) Exactly 40 people will prefer Pepsi. 5.1.2) Between 40 and 60 people will prefer coke. 5.1.3) The expected number of people who will prefer Pepsi in a random sample of 250 people. 5.2) If NBA player Steve Nash's free throw percentage is 89%, determine the probability that the he will make 20 free throws if he shoots 80 free throws in a given season. 5.3) If cool drink cans are weighed in ounces and it is known that a specfic batch has a mean weight of 12.03 ounces with a standard deviation of 0.05, determine the probability of the following: 5.3.1) The probability/fraction of cans that will be accepted, if it is acceptable that a can weighs at least 12 ounces. 5.3.2) The probability/fraction of cans that will weigh less than 12.1 ounces