Assume that X is a Poisson random variable with μ = 1.5.Calculate P(X-1)Hint*THE POISSON DISTRIBUTIONFor a Poisson random variable X, the probability of x successes over a given interval of time or space isO 0.3347P(X=x)=for x = 0, 1, 2, ..., where is the mean number of successes and e≈ 2.718 is the base of the natural logarithm.O 0.2510O 0.4422e²x

Givenμ=1.5X~Poisson(μ=1.5)P(X=x)=e-μ×μxx! ; x≥0

Answered: Assume that X is a Poisson random…

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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Weights of Lamb after eight weeks after born are normally distributed with mean µ = 14 kg and variance σ 2 = 4. a)Find the probability p that a single lamb has weight less than 12 kg. b) Find the probability that exactly 3 of the next 5 lambs examined will have weights less than 12 kg.
Let X be a continuous random variable whose distribution is given by X ~ PAR(6.2). Find the 65th percentile, 65. O 1.2461 O 1.0613 O 1.1229 O 1.1845 O 1.3077
Compute P(X) using the binomial probability formulaThen determine whether the normal distribution can be ed to estimate this probabilityIf soapproximate P(X) using the normal distribution and compare the result th the exact probability n=53, p = 0.7 and X = 41
Assume the random variable x is normally distributed with mean μ = 50 and standard deviation o = 7. Find the indicated probability. P(x > 35) P(x > 35)= (Round to four decimal places as needed.) ***
Let X be a random variable with a uniform distribution over the interval [-6,5]. Compute P(X > -0.4) (The answer should be a number rounded to five decimal places, don't use symbols such as % Compute Fx(-2.2). (The answer should be a number rounded to five decimal places, don't use symbols such as
The factory produces a certain type of sunblock. each barrel with the sunblock has some impurities in it. let the random variable X be the amount in grams of impurities in a given barrel. the mean of X is 6.50 grams with standard deviation 1.50g. a random sample of 50 barrels is collected and the average amount impurities per barrel is measured what is the approximate probability that this sample mean is less than 7.00g? use the z- table Round the answer to the nearest hundredth.
The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 13, 10, 13 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be: H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to _____ The test statistic (t,z) = ___ The p-value = _____ Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly more than 12 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 12. The data suggest the population mean is not significantly more than 12…
Suppose that X~N(500,100). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 500. What is its standard deviation, if you took a sample of size n = 10000?
Let X is a random variable with a pdf with mean u and standard deviation o (we do not know the actual shape of the pdf). If we draw reasonably large (n) samples from X, and calculate the sample mean X-bar, then what will be the pdf of the X-bar and WHY? |(Do not forget to mention the parameters of the pdf of X-bar) Answer here--->
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…
Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?

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