Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows:  40% brown, 35% blue, 12% green, 7% gray, 6% hazel a.  If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b.  If two people are randomly selected, what is the probability that at least one of them has brown eyes?

4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?

In a representative household telephone survey of 2,876 adults, 15% reported that they own at least one gun. Of those that own a gun, 3% own a handgun. Suppose that one of the 2,876 adults surveyed is randomly selected. a. What is the probability that the adult owns at least one gun? b. What is the probability that the adult owns at least one gun and the gun is a handgun? a. The probability that the adult owns at least one gun is (Simplify your answer. Type an integer or a decimal. Do not round.)

All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.

A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.