A dam has a fixed water capacity of 20 feet. The distribution of flood levels is given by the following probability density function with measured in feet:
Floods occur at random following a Poisson process with a mean rate of 1 every 2 year. Compute the reliability of the dam over:
A 10-year period
A 20-year period
If the strength is a constant 950 kg, determine the static reliability.
A dam has a fixed water capacity of 20 feet. The distribution of flood levels is...
please to find the question in the image. thank you A system (e.g. a dam or a dike) is said to be designed for the N-year flood if it has a capacity which will be exceeded by a flood equal or greater that the N-year flood. The magnitude of the N-year flood. The magnitude of the N-year flood is that which is exceeded with probability 1/N in any given year. Assume that successive annual floods are independent. a)- What is...
This question is about a discrete probability distri Poisson distribution, the one which in fact mo- bution known as the Poisson distribution. Let r be a discrete random variable that can take the values 0, 1,2,... A quantity r is said to be Poisson distributed if the probability P(x) of obtaining z is tivated Poisson, was connected with the rare event of someone being kicked to death by a horse in the Prussian army. The number of horse-kick deaths of...
QUESTION 4 A normal distribution has a mean of m= 100 with s = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 110? ca. 0.6915 b.0.3085 CC 0.3830 d.0.1915 QUESTION 5 Which of the following is a requirement for a random sample? a. Every individual has an equal chance of being selected. cb. The probabilities cannot change during a series...
butirnu (20%) ) for each of the following 10 statements (2 marks each). of the Circle T (true) or F (false) xand y be two normal variables with mean values of μ. and μ. and standard deviationsoro, and ob respectively. The standard deviatice of y.yisơ (I)T F Let x be a normal variable with a mean of"nd standard deviation ofơ. The standard deviation of y-xls (2) TF 3 T F Ina Bemoulli sequence, the probability of a success event is...
butirnu (20%) ) for each of the following 10 statements (2 marks each). of the Circle T (true) or F (false) xand y be two normal variables with mean values of μ. and μ. and standard deviationsoro, and ob respectively. The standard deviatice of y.yisơ (I)T F Let x be a normal variable with a mean of"nd standard deviation ofơ. The standard deviation of y-xls (2) TF 3 T F Ina Bemoulli sequence, the probability of a success event is...
butirnu (20%) ) for each of the following 10 statements (2 marks each). of the Circle T (true) or F (false) xand y be two normal variables with mean values of μ. and μ. and standard deviationsoro, and ob respectively. The standard deviatice of y.yisơ (I)T F Let x be a normal variable with a mean of"nd standard deviation ofơ. The standard deviation of y-xls (2) TF 3 T F Ina Bemoulli sequence, the probability of a success event is...
butirnu (20%) ) for each of the following 10 statements (2 marks each). of the Circle T (true) or F (false) xand y be two normal variables with mean values of μ. and μ. and standard deviationsoro, and ob respectively. The standard deviatice of y.yisơ (I)T F Let x be a normal variable with a mean of"nd standard deviation ofơ. The standard deviation of y-xls (2) TF 3 T F Ina Bemoulli sequence, the probability of a success event is...
The serum cholesterol levels for 20-24 year old males in the US has mean 180 mg/100ml and standard deviation σ = 46 mg/100ml. We are interested in the mean cholesterol level of the larger population of 20-74 old males, say µ. Suppose, we have a random sample of size 25 from the larger population. We want to test the following hypotheses at significance level α = 0.01: H0 : µ = 180, HA : µ > 180 a) What is...
1. The access code for a car's security system consists of four digits. be zero and the last digit must be even. How many different codes are consists of four digits. The first digit cannot many different codes are available? 2. Decide whether each object is a permutation or a combination a) a telephone number b) a social security number c) a hand of cards in poker d) a committee of politicians e) the "combination" on a student gym locker...
QUESTION 2 A probability distribution has a mean of 57 and a standard deviation of 1.4. Use Chebychev's inequality to find the value of c that guarantees the probability is at least 96% that an outcome of the experiment lies between 57- c and 57-c. (Round the answer to nearest whole number.) a. e. 9 Cliek Save and Submit to saue and submit. Click Save All Answers to save all answers. Save All Ar QUESTION 3 Find the variance of...