(05.01 MC)In the late 1700s, scientists proposed that the la…

(05.01 MC)In the late 1700s, scientists proposed that the layers in the rocks of mountains and canyons represented a record of the passage of time, with the younger layers lying on top of the older layers. What could they determine about the fossils they were finding in the rocks based on this observation?

(04.02 MC)  To increase sales, a cell phone store began givi…

(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)

(04.02, 04.03 MC)  It is estimated that 78% of drivers use t…

(04.02, 04.03 MC)  It is estimated that 78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over is the fifth driver? (5 points) (10 points)

(04.05 MC)  The 20 tallest buildings in the world have an av…

(04.05 MC)  The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zifeng Tower and the Wuhan Center have heights of 1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and −0.84, respectively. Part A: List these four buildings in order from shortest to tallest. (5 points) Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points) (10 points)