The interarrival times ∆t, for customers into the store are assumed to be all normally distributed with mean μ = 8 minutes and standard deviation σ = 2 minutes, so that ∆t ∼ N(μ, σ2) = N(8, 4), in units of minutes. a. Compute Pr(∆t < 0) and use this to argue that it is unnecessary to truncate ∆t so that it is always non-negative. b. Compute the probability that the 16th and the 9th customer arrive within 55 minutes of each other.
The interarrival times ∆t, for customers into the store are assumed to be all normally distributed...
7. Suppose that Y = (y, ½, ½)T are jointly normally distributed with 2.0 1.0 0.5 μ = ElY]=| 2 | , Σ= Var(Y)-| 1.0 2.0 1.0 0.5 1.0 2.0 60) 3 Compute Eysyi-n and the mean squared error of this forecast 7. Suppose that Y = (y, ½, ½)T are jointly normally distributed with 2.0 1.0 0.5 μ = ElY]=| 2 | , Σ= Var(Y)-| 1.0 2.0 1.0 0.5 1.0 2.0 60) 3 Compute Eysyi-n and the mean squared...
1) Let x be a continuous random variable that is normally distributed with a mean of 21 and a standard deviation of 7. Find to 4 decimal places the probability that x assumes a value a. between 24 and 30. Probability = b. between 17 and 31. Probability = ------------------------------------------------------------------------------------------------------------------------------------------------------ 2) Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a...
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photos for each question are all in a row (1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...