4. 8.50 A survey of households included questions about the number of operating automobiles N currently owned by people living at the residence, and the interest rate i on the lowest-rate loan for the cars. The results for 100 households are shown. Table Summary: Table (above) divided into two columns shows number of automobiles owned by individual households. The column headers are marked from left to right as: number of cars, n, and households. Table (below) divided into two columns shows the loan rate on automobiles for 100 households. The column headers are marked from left to right as: loan rate, I; and households. Number of Cars, N Households 0 12 1 56 2 26 3 3 ≥ 4 3 Table Summary: Table (above) divided into two columns shows number of automobiles owned by individual households. The column headers are marked from left to right as: number of cars, n, and households. Table (below) divided into two columns shows the loan rate on automobiles for 100 households. The column headers are marked from left to right as: loan rate, I; and households. Loan Rate, i, %Households 0.0–2 22 2.01–4 10 4.01–6 12 6.01–8 42 8.01–10 8 10.01–12 6 1. State whether each variable is discrete or continuous 2. Numerically describe and plot the probability distributions for N and i. 3. From the data collected, determine the probability that a household has one or two cars. Three or more cars. 4. Use the data for i to estimate the chances that the interest rate is between 7% and 11% per year.