A Multiple choice and true/false guestions are worth 3 points each 1. A recent study indicated that 67% of US. adults consider air conditioning a necessity. If a random sample of 14 US. adults is selected, what is the probability at least 12 of the 14 consider air conditioning a necessity? A. 0.0811 B. 0.9710 C. 0.0290 D. 0.1101 E. None ofthese 2. Which of the following statements about a binomial random variable is FALSE? A. Each of the observations or trials are independent. B. Each trial has only two possible outcomes. C. The probability of success may change from trial to trial. A. There is a xed number of trials or observations. 3. Two students are selected, without replacement, from a group of 8 male and 5 female students. What is the probability exactly one female is selected? A. 0.5128 B. 0.2564 C. 03846 D. 0.4734 E. None ofthese 4. It is known that IQ test scores are normally distributed with a mean score of 100 and standard deviation 16. What is the cutoff value of the lowest 79% of the distribution? A. 112.96 B. 97 C. 112.64 D. 0.81 5. The distribution of speeds for vehicles on a particular highway is normal with mean 67 mph and a standard deviation of 4 mph. What percentage of the speeds will be at least 75 mph? A. 97.72% B. 15.87% C. 81.85% D. 2.27%