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Assume that whether it rains today or tomorrow is independent of each other. The probability that it rains today is 0.32 and the probability that it rains tomorrow is 0.87. (Round to 3 decimal places)   a. What is the probability that it rains today and tomorrow? [a] b. What is the probability that it rains at least one of the days? [b]

Luna is ordering at Taco Bell. There is a 42% chance she will order a Crunchwrap, a 63% chance she will order a Chalupa, and a 27% chance she will order both a Crunchwrap and a Chalupa. (Give your answers in decimal form to represent probabilities).   a. What is the probability that Luna orders a Crunchwrap or a Chalupa? [a] b. What is the probability that Luna orders a Crunchwrap but does not order a Chalupa? [b]

A chef is in search of an elusive ingredient he needs for a recipe. He is going to check 2 stores for the ingredient, regardless if he finds the ingredient at the first store. The probability that he will find the ingredient at the first store is 0.21, the probability that he finds it at the second store is 0.15, and the probability that he finds it at both stores is 0.08.    Given the chef finds the ingredient in the second store, what is the probability that he finds it in the first store? [c] (Round to 3 decimals)

Consider the following discrete probability distribution. x P(X = x) 10 0.35 20 0.10 30 0.15 40 0.40 a. Find the probability that X is greater than 20. [a] b. Find the probability that X is less than 40. [b] c. Find the expected value, µ, of X. [c]

A histogram of a set of data indicates that the distribution of the data is left skewed. Which measure of central tendency will be larger, the mean or the ​median?

Data are drawn from a bell-shaped distribution with a mean of 80 and a standard deviation of 2. a. Approximately what percentage of the observations are between 82 and 86? [a] b. Approximately what percentage of the observations are less than 78? [b]

Given the following sample data, answer the following questions: 21  56  58  61  66  67  70   a. Calculate Q1 [a] b. Calculate Q3 [b] c. Calculate the IQR [c] d. Calculate the lower fence [d] e. Calculate the upper fence [e] f. List any outliers (leave blank if no outliers; if there are multiple, separate them with commas) [f]

Given the following graph, a. What is the shape of the distribution? [a] b. What percentage of donuts had calories between 250 and 350 calories? [b]

Classify the following variable as qualitative or quantitative. If the variable is quantitative, determine if it is discrete or continuous.   Natural hair color

Loretta opens a candy shop on Main Street. Concerned about potential liability serving food to the public, she incorporates her business. After a few months, she fails to follow the manufacturer’s suggestions and refrigerate her fudge. As a result, every mother in town falls ill after eating gifts of fudge on Mother’s Day. If a mother who became sick sues, Loretta will only be liable up to the limits of what she invested in the business because she incorporated and thus shielded herself from personal liability.