The length of a MLB game in 2019 was normally distributed with a mean of 185 minutes and a standard deviation of 17 minutes. (Round to 3 decimal places).   a. What is the probability that a randomly selected baseball game lasts more than 166 minutes? [a] b. What is the probability that a randomly selected baseball game lasts less than 200 minutes? [b] c. What length represents the 47th percentile? [c] d. What are the two lengths that represent the middle 42%? (Separate your numbers with a comma, put the smaller number first) [d]

Audrey is ordering at Taco Bell. There is a 18% chance she will order a Quesadilla, a 87% chance she will order a Soft Taco, and a 7% chance she will order both a Quesadilla and a Soft Taco. (Give your answers in decimal form to represent probabilities. Round to 3 decimal places as needed.)   a. What is the probability that Audrey orders a Quesadilla or a Soft Taco? [a] b. What is the probability that Audrey orders a Soft Taco but does not order a Quesadilla ? [b]

Suppose a malfunction occurred at a factory, so 83% of items produced by this specific factory are defective. A random sample of 15 items was taken. (Round to 3 decimal places when necessary).   a. What is the probability that exactly 10 of the sampled items are defective? [a] b. What is the probability that more than 13 of the sampled items are defective? [b] c. What is the probability that between 9 and 12, inclusive, of the sampled items are defective? [c] d. Find the expected number of items to be defective. [d] e. Find the standard deviation of items to be defective. [e]

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)

When building a confidence interval for a population mean, we use the Z-interval when:

A study on some high school students was conducted, and the student’s study habits and their GPA were recorded in the following table. GPA 

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?

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]

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]

Consider the following boxplot of midterm scores from a biology class. a. State the shape of the distribution [a] b. Considering the shape of the distribution, what is the best measure of central tendency? [b] c. Considering the shape of the distribution, what is the best measure of dispersion? [c] d. Estimate the value of Q3 [d]