Probability Homework Help

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 help

What is the empirical probability that a randomly selected superhero will be able to fly?

What is the empirical probability that a randomly selected superhero will have super strength?

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?

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! X2

2) Use the standard normal distribution to find P(-2.25<z<1.25). A) 0.8822 B) 0.8944 C) 0.0122 D) 0.4878

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.

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) 0.5843

(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?

(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?

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) 0.1591

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?

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%

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) -1.33

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).

. 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]

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.

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=10