The question is based on the continuous normal distribution Y∼N(100,i+1), where i is the 5. that is, the normal distribution with expectation μ=100, and whose variance σ2 is equal to
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The question is based on the continuous
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? x. What is the probability that the lifetime of at least one component exceeds 3?a. Is Y discrete or continuous? Explain. Plot the PMF/PDF of random variable Y (whichever is applicable).b. What is the value of P[1 < Y ≤ 4]
- Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 8 sec? More than 8 sec? (b) What is the probability that waiting time is between 4 and 7 sec?What is the Marginal PDF of f(x)=2? Is the event independent?Consider the continuous random variable X = the weight in pounds of a randomly selected newborn baby born in the United States last year. Suppose that X can be modeled with a normal distribution with mean μ = 7.57 and standard deviation σ= 1.26. If the standard deviation were σ = 1.06 instead, how would that change the graph of the pdf of X?
- Complete this PDF and find the expected value of X:The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). a)Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 7 sec? More than 7 sec? at most 7 sec P(X ≤ 7) = more than 7 sec P(X > 7) = (b) What is the probability that waiting time is between 4 and 9 sec?
- Solve for the area of the normal curve using the z-table in the given scenarios: a. to the left of z=1.85 b. to the right of -1.31If the variance of a continuous random variable X with pdf f(x) is noted as V(X), what is its standard deviation?Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. the pdf of X is f(x){90x2(1-x) 0<x<1 , 0 otherwise a. what is the 75th percentile of the distribution? b. Compute E(X) and sigma(x) c. What is the probability that X is more than one standard deviation from its mean value?