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Q1:1. In a medical study, patients are classified according to whether they have blood type A, B, AB, or 0, and also according to whether their blood pressure is low, normal, or high. List the sample space. Hint: a tree diagram might helpSee Answer
Q2:What is the empirical probability that a randomly selected superhero will be able to fly?See Answer
Q3:What is the empirical probability that a randomly selected superhero will have super strength?See Answer
Q4:Question 2 (1 point) A spinner is broken into sections labeled 1 to 40. What is the probability that, on your next spin, that you will spin a number less than 3?See Answer
Q5: 1. If all of the letters in the word ABSOLUTE are used, then how many arrangements are possible that beginand end with an A, B, or S?[1] 3X66 X3 3X6 x2 3x6! X3 3X6! X2See Answer
Q6: 2) Use the standard normal distribution to find P(-2.25<z<1.25). A) 0.8822 B) 0.8944 C) 0.0122 D) 0.4878See Answer
Q7: A) 0.1359 B) 0.2139 C) 0.8413 D) 0.5398 1) Find the area under the standard normal curve between z = 1 and z=2.See Answer
Q8: 3) Find the area under the standard normal curve to the right of z = -1.25. A) 0.6978 B) 0.7193 C) 0.8944 D) 0.5843See Answer
Q9: (6) Consider the following game: You roll two 6-sided dice. If you roll a 7, then you stop and win nothing. Otherwise, you may either restart or take the `sum of the dice as a payoff. What strategy maximizes the expected payoff?See Answer
Q10: (3) Consider the random walk on the circle graph {1, ..., N}. That is, P(X+1= Xn+1 mod N)=P(Xn+1= X„ –1 mod N)= 1/2. If Xo = 1, then what is the distribution of X, for large n?See Answer
Q11: 7) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. A) 0.0606 B) 0.0066 C) 0.1151 D) 0.1591See Answer
Q12: 9) An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with u=15.5 and o= 3.6. In one year, how many weeks would you expect the airline to lose between 10 and 20 suitcases?See Answer
Q13: 6) The distribution of cholesterol levels in teenage boys is approximately normal with u= 170 and o= 30 (Source:U.S. National Center for Health Statistics). Levels above 200 warrant attention. What percent of teenage boys have levels between 170 and 225? A) 3.36% B) 6.06% C) 46.64% D) 56.13%See Answer
Q14: 5) IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 120. Find the z-score corresponding to this value. А) 0.67 В) 1.33 С) -0.67 D) -1.33See Answer
Q15: A 11-car platoon is approaching a traffic light with vehicle actuated control, and the light turns green when the head car of the platoon is 120ft away from the stop bar. Suppose that the headway between cars in the platoon is 2 seconds, the cars are traveling at 30ft/sec, and the duration of the green light follows a negative exponential distribution with a mean of 30 seconds. What is the probability that all the 11-cars in the platoon can travel through the intersection if the platoon keeps traveling at 30ft/sec (the platoon is considered having crossed the intersection when the last car in the platoon crosses the stop bar).See Answer
Q16: . Peter Hill, Beyonce and 4 other friends all have tickets for a movie where they will sit in the same rowtogether. Determine the number of arrangements of the 6 people if Peter Hill and Beyonce must not besitting beside each other.[2]See Answer
Q17: 44. The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an eleva-tor follows a uniform distribution between O and 3.5 minutes.See Answer
Q18:1. Which of the following is a valid Null Hypothesis? A. Ho: μ-10 B. Ho: >5.34 C. Ho: € = 45.7 D. Ho: € 3.5 E. Ho: p>0.7 F. Ho: n=10See Answer
Q19:2. A school district believes that the average score for a particular math class is 85. The null and alternative hypotheses being tested are: Ho: μ ≥85 H1: μ< 85 In plain English describe the outcome of a Type I Error In plain English describe the outcome of a Type II Error In plain English describe a correct decisionSee Answer
Q20:3. A particular snack brand is advertised that each package contains 454 grams. It is suspected that the packaging machine is off and on the average each package contains less. A large sample is taken in order to test the hypotheses: Ho: μ2454 Ha: μ< 454 The P-value is calculated as 0.09. Which of the following would be a correct interpretation of the P-value? A. It can conclusively be stated that the packaging machine is working correctly B. There is a 9% probability that the exact fill weight average is 454 g. C. The probability of obtaining a sample mean as extreme as the one observed given that hypothesis is true, that the mean fill rate is the true mean is exactly 454 g is 0.09, or 9%. D. There is a 9% probab that the alt less than 454 g. E. 9% of the sample was less than 454 g.See Answer

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