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When
Let X be the Poisson distribution
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- A spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Height = 1 0 Random number Is this a valid probability distribution? Explain. No, this is not a valid probability distribution. The height and base cannot both be exactly 1. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the height is exactly 1. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the area is exactly 1 underneath the curve. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the base is exactly 1. O Yes, the probability distribution is valid because shape is uniform.QUESTION 9 A particularly long traffic light on your morning commute is green 309% of the time that you approach it. Assume that each moming represents an independent trial. Over 6 mornings, what is the probability that the light is not green on exactly 4 days? a. 0.001 b. 0.1181 C. 0.3241 d. 0.0600 QUESTION 10 A random variable X with probability density function f(x) = 1.5x2 for -1Question 4 P(x) 0.25 0.1 2. 3 0.15 0.5 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places > Next Question W re to searchQuestion 5 Choose the Distribution Type for the following Description A continuous probability distribution where the estimated standard deviation is used in the denominator rather than the true standard deviation t Distribution Uniform Distribution Poisson Normal DistributionQUESTION5 A random variable X with probability density function fox)-1.5x2 for -1Question 25 Reminder: If you have a Poisson Distribution with Parameter then its Probability Density Function is given by Consider a Poisson Distribution with parameter of 1.0. Compute P(1) to the nearest ten- thousandth.Hi, I only need the answer to part C for this question, I attached two screenshots for reference. Any help appriciated as soon as possible, thanks.Question 1 1.1 In your own words, use an example to explain what a random variable is. 1.2 Does discrete random variables have a cumulative distribution function? Explain your answer. 1.3 A probability density function is a theoretical model for the distribution of a population of measurement. 1.4 In your own words, discuss the concepts of a correlation coefficients and covariances. ( 1.5 If Y, and Y, are independent random variables, it must be_Question 7 = A Uniform Distribution has probability Density Function f(x): 0.00230 when its not equal to O. Find the length of its interval. Round to the nearest tenth.Question 5 P is a probability density function on a Sample space of (1,3,5,7) P(1) = 0.34 P(3) = 0.19 P(5)= 0.23 Find the Expected Value (aka Mean) of this probability Density Function (note part of this is finding the Probability of 7 as well)A normal distribution with a mean of O and a standard deviation of 1 is called O a probability density function. O a standard normal distribution. O an ordinary normal curve. none of the other statements is correct.A Histogram for SO2 emissions data (ton/days with 100 recorded readings is constructed with a width of class interval equal to 5. The maximum frequency is equal to 25 corresponds to class interval 5-20. The probability density corresponding to this interval isSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. 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