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(04.06 MC)  The grades on the last math exam had a mean of 72%. Assume the population of grades on history exams is known to be distributed Normally, with a standard deviation of 5%. Approximately what percent of students earn a score between 72% and 87%? (4 points)

Tell me about a joint/muscle group that you feel hinder your day to day living or performance.    Then please list 2 different methods to improve mobility around that joint/muscle group – explain each method you are using to improve mobility and how it works.  

(04.01 LC)  The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 5 10 15 20 25 P(x) 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? (3 points)

(04.03 MC)  A person has a 35 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the sixth ticket? (4 points)

(06.06 MC)  Eighteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. Which of the following conclusions is appropriate? (3 points)

(04.02 MC)  To increase sales, a cell phone store began giving a free month of service on some cell plan purchases. Customers were unaware whether they would receive the free month until after purchase. The store manager claimed that one in eight customers received the free month. Nine customers each buy a cell phone plan. Let X = the number of customers that receive a free month of cell phone service.Part A: Is X a binomial random variable? Explain. (3 points)Part B: What is the mean and standard deviation of X? Provide an interpretation for each value in context. (4 points)Part C: Three of the nine customers receive a free month of service. Is the store’s claim accurate? Compute P(X ≥ 3) and use the result to justify your answer. (3 points) (10 points)

(05.04 MC)  A researcher has conducted a survey using a simple random sample of 225 elementary teachers to create a confidence interval to estimate the proportion of elementary teachers favoring the addition of a soda machine to the cafeteria. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 25 teachers instead of 225 elementary teachers. Which of the following statements best describes how the confidence interval is affected by this change? (3 points)

(06.06 MC)  Fifteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. Which of the following conclusions is appropriate? (3 points)

(04.02 MC)  An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times? (3 points)

(04.03 MC)  The probability that Babe Ruth hits a home run on any given at-bat is 0.12, and each at-bat is independent. Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points) Part B: What is the expected number of at-bats until the next home run? (5 points) (10 points)