Blog

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]

If a confidence interval is (14, 80), what is the margin of error (MOE)? [a]

Suppose two people are at a dinner party. There are 3 food options they can choose from – chicken (C), veggie (V), or steak (S). Choose the sample space for the possible food selections from these people.  Sample space = [a]

If P(A) = 0.32, P(B) = 0.45, and P(A and B) = 0.17, are events A and B independent?

A homeowner is interested in the average cost of all bathroom remodels. The homeowner has seen that the average cost is $10,750. The homeowner believes that the average cost of a bathroom model is more than this value. They randomly select 41 bathroom remodel costs, and they find that the average cost was $10,900 with a standard deviation of $450. Use a 5% level of significance to test the homeowner’s belief.   State the hypotheses:

Suppose a group of 3 friends are at a dinner party. There are 2 food options they can choose from – meat (M) or vegetarian (V). Choose the sample space for the possible food selections from this friend group. Sample space = [a]

Mia is considering what ice cream flavor to have for dessert. She has a 67% change of picking chocolate, a 32% chance of picking vanilla, and a 27% chance of picking both flavors.   Given that Mia chooses vanilla, what is the probability that she chooses chocolate? [c] (Round to 3 decimals)

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)