Civil and Environmental Engineering Answers

In a certain school, 40% of graduating students choose engineering courses, 35% choose medical courses and 15% choose philosophy courses and 10% are undecided. If you randomly select 15 graduating students, what is the probability that 4 choose engineering, 6 choose medical, 3 choose philosophy and the remaining are undecided?

A construction firm manufactures steel and is normally distributed with mean equal to 800MPa and a standard deviation of 40 MPa before it reaches yielding. Find the probability that the steel is in between 778 MPa and 834 MPa.

An observer counts 360 vehicles per hour at a highway. Estimate the probability of having more than 4 vehicles arriving over a 25 second time interval.

Given a normal distribution with mean equal to 40 and a standard deviation of 6, find the value of x that has 14% of the area to the right.

The probability that a certain product is defective is 0.35. Find the probability that exactly 3 of the next 5 products taken is non-defective.

Find the centroid of the region bounded by y²=x and y=4x.

The face of the dam adjacent to the water is vertical and is 90 ft. wide at the top, 60 ft. wide at the bottom, and 20 ft. high in the form of an isosceles trapezoid. Find the total force on the face of the dam due to the water pressure.

Determine the hydrostatic force on a triangular plate that is submerged in water.

6m wide and 4m high.

A rectangular plate is submerged vertically in pool of water. If the width of the plate is 6 feet and the depth is 3 feet, find the total force due to water pressure on one side of the plate if the top top of the plate lies on the surface of the water.

A conical tank is full of water is 16 feet across the top and 12 feet deep. Find the work required to pump all the water to a point 2 feet above the top of the vessel.