In the cumulative distribution example below, P(X = 3/8) is equivalent to, 1 – P(X < 3/8). 3-52. + The thickness of wood paneling (in inches) that a customer orders is a random variable with the following cumu- lative distribution function: x<1/8 0.2 F(x)={ 1/81/4) (e) P(X<1/2) 18) » P(x=/2) • 0.20 f(14) - Plx= V4). 0.70 f/0/6) - P(x. %e) : 0. 10 %3D
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- 8. Be X a discrete random variable with distribution given by: Select one: a. 1/8 b. 1/4 c. 3/8 d. 5/8Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 97.9 ft and a standard deviation of 5.4 ft.A tree of this type grows in my backyard, and it stands 86 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<86)P(X<86) = My neighbor also has a tree of this type growing in her backyard, but hers stands 112.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.P(X>112.5)P(X>112.5) = Enter your answers as decimals accurate to 4 decimal places.Suppose the cumulative distribution function of the random variable X is Determine the following (do not round): Part 1 P(X<2.8) i F(x) = { 0 x < 00.2 x 0≤x < 51 5≤x Statistical Table
- Let X be b(2, p) (binomial distribution). Assume P(X > 1) = (a) Find p. (b) Compute P[X = 2]. %3DSuppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03What is the probability that a randomly selected customer will take more than 3 minutes to check out their groceries? What is P(X>3)? Round to the nearest tenths/first decimal place, 0.x
- Give the answer for question 4Use only the Table for Binomial Distribution to find the following: a. P(x 26) for n=15, p=0.6 b. P(3The probability that the standard normally distributed variable is between 1.011 and 2.8 is approximately equal to.P(-0.34Suppose you were given the following data for a section of STAT 210 with 126 enrolled students: 63 26 47 48 12 72 52 31 55 126 66 35 22 44 32 37 Using the data on the left. Which of the following statistics is a measure of spread that would be resistant to the removal of the observation 126 for STAT 210? Median Inter Quartile Range Standard Deviation Range Meanattached belowRecommended 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. FreemanMATLAB: 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. Freeman