Statistics

3. Probability Scores 0.15 0.5 2 0.1 3 0.15 9 0.05 10 0.05 14 Find the expected value of the above random variable. UL 4. A jar contains 10 red marbles numbered 1 to 10 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered. A coin is tossed twice. Let E be the event "the first toss shows heads" and F the event "the second toss shows heads". (a) Are the events E and F independent? Input Yes or No: (b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction. Answer: 5 Ages Number of students Relative Frequency 15-18 5 % 19-22 2 9% 23-26 N 9% 27-30 un 31-34 8 9% 35-38 5 Give your answers as a percents, rounded to one decimal place