QUESTION 2 Delta Airlines quotes a flight time of 4 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 12 minutes.(a)Show the graph of the probability density function for flight time.The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 240 on the horizontal axis.A 1/12 unit long vertical line segment begins at 252 on the horizontal axis.A 12 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 234 on the horizontal axis.A 1/12 unit long vertical line segment begins at 246 on the horizontal axis.A 12 unit long horizontal line segment begins at the tickmark labeled 234 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 234 on the horizontal axis.A 1/12 unit long vertical line segment begins at 252 on the horizontal axis.A 18 unit long horizontal line segment begins at the tickmark labeled 234 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 240 on the horizontal axis.A 1/12 unit long vertical line segment begins at 246 on the horizontal axis.A 6 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments.(b)What is the probability that the flight will be no more than 3 minutes late? (c)What is the probability that the flight will be more than 6 minutes late? (d)What is the expected flight time, in minutes? min

Question

QUESTION 2 Delta Airlines quotes a flight time of 4 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 12 minutes.(a)Show the graph of the probability density function for flight time.The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 240 on the horizontal axis.A 1/12 unit long vertical line segment begins at 252 on the horizontal axis.A 12 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 234 on the horizontal axis.A 1/12 unit long vertical line segment begins at 246 on the horizontal axis.A 12 unit long horizontal line segment begins at the tickmark labeled 234 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 234 on the horizontal axis.A 1/12 unit long vertical line segment begins at 252 on the horizontal axis.A 18 unit long horizontal line segment begins at the tickmark labeled 234 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments.A 1/12 unit long vertical line segment begins at 240 on the horizontal axis.A 1/12 unit long vertical line segment begins at 246 on the horizontal axis.A 6 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments.(b)What is the probability that the flight will be no more than 3 minutes late? (c)What is the probability that the flight will be more than 6 minutes late? (d)What is the expected flight time, in minutes? min

Accepted Answer

(a)
Delta Airlines quotes a flight time of 4 hours, 3 minutes(243 minutes) for a particular flight.…

Delta Airlines quotes a flight time of 4 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 12 minutes. (a)