Civil and Environmental Engineering Answers

A line is recorded as 475.25 m long. It is measured with a 6.5 N tape which is 30.492 m long at 68⁰F under a 10 lb. pull supported at end points. During measurement the temperature is 4.5⁰C and the tape is suspended under a 71 N pull. The line is measured on 3% grade. What is the true horizontal distance? Modulus of elasticity of the tape is 1.93 X 10⁸ KPa and cross-sectional area of tape is 0.0284 cm². Coefficient of expansion of the tape material is 0.0000116 m/⁰C.

A construction laborer is asked to make stirrups for their project and notices that the average length of rebards he need to make is about 30 cm. He concludes that tge rebars have a standard deviation of 2 cm. Assuming that the lengtha are normally distributed, what percentage of the steel bars are between 29.30 and 33.50 cm?

Down syndrome is a common chromosomal abnormality caused by an extra copy of genes found on chromosome 21. It affects on average 1 out of 900 newborn babies. What is the probability that at most 3 births inherit this condition, given that on average there are 4,775 babies born in the philippines per day.

The average accident on a certain road section is at 2.4 per day. What is tge probability that there will be 12 accidents in a week?

There are 35 students in a classroom, 15 which are A-students. If the teacher calls out on 8 students at random (without replacement). What is the probability that exactly 4 are A-students?

A civil engineer takes a public ride going to his firm. The average time for this trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour.

A binomial distribution consists of 120 trials, with a success probability of 43% . determine the mean and standard deviation

The heights of 1000 students are normally distributed with a mean of 174.5 cm and a standard deviation of 6.9 cm. Assuming that the heights are recorded to the nearest quarter-centimeter down, how many of these students would you expect to have heights greater than or equal to 188 cm?

A bowl contains 12 different flavored candies (4 chocolate, 5 strawberry and 3 menthol). A child takes 6 candies at random. What is the probability that the child took 2 of each flavor?

10 individuals are asked a single question in which the answer is only yes or no. Suppose that these individuals are not given enough time to think of their answer (thus, will just blurt out the first answer that comes to mind). Determine the probability that 6 individuals will answer YES. [Answer in fraction number]