Solve the following problem:
Q1: Choose an American driver at random and let the random variable X be the number of speeding tickets the driver has received in the last two years. The discrete probability distribution of X is shown.
Tickets 0 1 2 3 4 5
Probability 0.16 0.32 0.25 0.12 0.09 0.06
Q2: Verify the two main requirements that make this a legitimate discrete probability distribution.
Q3: Create a probability histogram for the random variable X.
Q4: Explain in words what the probability P(Xââ?°¤2) means. What is the probability P(Xââ?°¤2)?
Q5: Write the mathematical expression of the event that a randomly chosen driver has more than three speeding tickets in terms of the random variable X. What is the probability of this event?
Q6: Compute and interpret E(X), the expected value of the random variable X.