Hi, I need help with these questions. Thank you!

The following table represents the probability of the number of cars owned by a college student. Give your answer to 3 decimal places. x o 1 2 3 0.48 0.33 0.12 0.07 a) Is this a valid discrete probability distribution? b) Find the mean number of cars owned. c) Find the standard deviation of the number of cars owned. d) Find 02 The Ohio lottery has a game called Pick 4 where a player pays Sl and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2800. a) Write the probability distribution for a player's winnings. Fill in the table below. For the computer to grade this one correctly make sure that your X values are from smallest to largest. x b) What are your expected winnings? final answer to 2 decimal places. Put correct units in the second box. c) Which of the following is the correct interpretation of the expected winnings? V Select an answer Every time you play the Ohio lottery you will lose If you play the Ohio lottery many times, you can expect to win -0.72 dollars per game Every time you play the Ohio lottery you will win -0.72 dollars is table gives approximate probabilities for scoring O, 1, 2, 3, or 4 runs in one inning of Major League Baseball. (Although it is possible to score more than 4 runs in one inning, the probability is very small, so it is ignored in this question.) 0 0.65 1 0.19 2 0.08 3 0.05 4 0.03 Round all answers to 2 decimal places. Compute the sum of these probabilities: Compute the mean number of runs/inning, using this probability distribution: Compute the standard deviation of this probability distribution: