Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with A = 1, (which is identical to a standard gamma distribution with a = 1), compute the following. (If necessary, round your answer to threedecimal places.)(a) The expected time between two successive arrivals(b) The standard deviation of the time between successive arrivals(c) P(X < 3)(d) P(2 sX S 5)

It is given that X~Exp(λ=1), the PDF of X is given by, a). The mean of an exponential random…

Answered: Let X = the time between two successive…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be the TSH level in an individual. It is assumed that X has an exponential distribution with a mean of 3 µIU /mL. A sample of 12 workers from a logging company is taken. If more than half of the individuals in the sample have TSH levels greater than 4.8 µUI /mL, an intervention program is carried out with the total number of workers in the company. How likely is the intervention program to be needed? a) 0,004 b) 0,006 c) 0,086 d) 0,005 e) 0,003
Find expected value,variance, and standard deviation
(4) Annual rainfall over the slopes of southern Himalayan mountains has varied from 750mm to 1250mm over the last several hundred years. If the distribution of the amount of annual rainfall has mean u = 1000mm and standard deviation o = 100mm, what is the likelihood that the average rainfall over the last ten years could have been below 800mm, in the absence of any climate change? Solve this problem by taking the following four steps one by one. Step (i). We need to compute P(X 10 < 800). where X 10 is the average over the ten years of rainfall. Can we compute this probability exactly: (a) No, the population distribution is not known. (b) Yes, since the population distribution is Poisson. (c) Yes, since the population distribution is Binomial. (d) No, because no matter what the population distribution may be, it is always impossible to find the exact distribution of X 10- (e) None of the above. (a) (b) (c) (d) (e) N/A (i- Select One) Step (ii). An approximation to the probability, P(X…
Suppose that X has a lognormal distribution with parameters 0 = 2 and w² = 9. Determine the following. %3D (a) Round the answer to 3 decimal places. P(X 1000. Round the answer to 2 decimal places.
For each substance, estimate the standard deviation o by assuming uniform distribution and normal distribution shown in Table 8.11 in Section 8.8. (Round your answers to 4 decimal places.) Uniform Distribution Normal Distribution Chromium Barium Fluoride
Assume that women's heights are normally distributed with a mean given by μ=63.5 in,and a standard deviation given by σ=2.3 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) If 48 women are randomly selected, find the probability that they have a mean height less than 64 in. (a)The probability is approximately ?
Suppose X has an exponential distribution with mean equal to 12. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X > 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.) (d) Find the value of x such that P(X
Assume that women's heights are normally distributed with a mean given byµ= 63.5 in, and a standard deviation given by o = 2.6 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) If 44 women are randomly selected, find the probability that they have a mean height less than 64 in. (a) The probability is approximately (Round to four decimal places as needed.) (b) The probability is approximatelyO (Round to four decimal places as needed.)
2 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 250 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.) cfs
d. Denote the expected return and its standard deviation as functions of π byμ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as πvaries from 0 to 1. Plot this curve. I need to draw a graph from this??
Write the following distributions in the form of the exponential form: (i) Poisson P(0); (ii) Geometric G(0); (iii) Gamma I'(a, B).
The time intervals between cars that successively pass a toll booth have an exponential distribution with a mean of 8 minutes. Find a time interval t in minutes such that we can be 95% sure that the time interval between two successive cars passing through the toll booth will be greater than t. Round to 2 decimal places

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