1. [3 marks] A random survey of Canadian adults was conducted to determine whether there is a relationship between party affiliation and opinion on gun control. The survey data are shown below: Political Party sed Undecided Conservative 4 0 a) What is the chance a randomly selected adult is opposed to gun control and affiliated with the Liberal party? [1 mark] b) If we randomly pick an adult who is undecided about gun control, what is the chance he/she is affiliated with the Conservative party? [1 mark] c) What is the chance a randomly selected adult is in favour of gun control? [1 mark] 2. [4 marks] The probability that a flashlight battery will last more than 28 hours is 0.80. The length of life of any one battery is independent of that of any other. A total of 5 batteries are tested. (Hint: Use the binomial probability distribution}. a) What is the probability that all five batteries will last for more than 28 hours? [2 marks] b) What is the probability that at least one battery will last for more than 28 hours? [2 marks] 3. [8 marks] New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night. Assume that room rates are normally distributed with a standard deviation of $55. a) What is the probability that a hotel room costs $225 or more per night? [2 marks] b] What is the probability that a hotel room costs less than $140 per night? [2 marks] c) What is the probability that a hotel room costs between $200 and $300 per night? [2 marks] d] What is the cost of the 20% most expensive hotel rooms in New York City? [2 marks]