Part 1

Til} random number table contains the digits 0 through 9 in equal proportions throughout the entire table. If we select a single digit randomly from the random number table, what is the probability that the selected digit will be less than 2? (Enter your probability as a fraction.) |:| There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean region). Let A = the event that a country is in Asia. Let E = the event that a country is in Europe. Let F = the event that a country is in Africa. Let / = the event that a country is in North America. Let O = the event that a country is in Oceania. Let S = the event that a country is in South America. Find P(A). (Enter your probability as a fraction.)A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. Let X = the number of years a student will study ballet with the teacher. Let P(x) = the probability that a student will study ballet x years. X P(x) X*P(x) 1 0.05 0.05 3 0.20 4 5 0.25 6 0.20 7 0.05 On average, how many years would you expect a child to study ballet with this teacher? (Enter an exact number as an integer, fraction, or decimal.) yr