The states of Ohio, Iowa, and Idaho are often confused, probably because the names sound so similar. Each year, the Stat Tourism Directors of these three states drive to a meeting in one of the state capitals to discuss strategies for attracting tourists to their states so that the states will become better known. The location of the meeting is selected at random from a city in each state. The shortest highway distance from the city in Idaho to the city in Ohio passes through the city in Iowa. The highway distance from the city in Idaho to the city in Iowa is 1330 miles, and the distance from the city in Iowa to the city in Ohio is 650 miles. Let d₁ represent the driving distance from the city in Ohio to the meeting, with d₂ and d3 representing the distances from the city in Iowa and the city in Idaho respectively. (a) Find the probability distribution of d₁ and display it in a table. (Enter your probabilities as fractions.) Value of d₁ Probability 0 650 1980 (b) What is the expected value of d₁? (Round your answer to three decimal places.) mi (c) What is the value of the standard deviation of d₁? (Round your answer to three decimal places.) mi (d) Consider the probability distributions of d₂ and d3. Is either probability distribution the same as the probability distribution of d₁? Justify your answer. None of the distributions are equal, because none of them contain the same set of possible values and associated probabilities. O The distributions d₁, d₂, and d3 are equal, because they all contain the same set of possible values and associated probabilities. Only the distributions d₁ and d₂ are equal, because they all contain the same set of possible values and associated probabilities.