Q2: B. Given a normally distributed variable X with mean 4 and standard deviation 2, find:(a) P(X<5). (b) The value of k such that P(X5). (d) P(1.8

As per our guidelines we are suppose to answer only three sub parts.Mean()=4Standard deviation()=2

Answered: Q2: B. Given a normally distributed…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An interpolation function, P(x), for e 2 x between x=0 and x=.5 was found using the following data points (0, 1), (0.1, 1.2214), (0.2, 1.4918), (0.3, 1.8221), (0.4, 2.2255), and (0.5, 2.7183). What is the upper bound of the approximation at P(0.25)? a) ( 0.25 ) ( 0.25 – 0.1) ( 0.25 – 0.2 ) ( 0.25 – 0.3 )( 0.25 – 0.4 ) (0.25 – 0.5 ) 6 ! 2 6 e 0.5 b) ( 0.25 ) ( 0.25 - 0.1) (0.25 – 0.2 ) ( 0.25 - 0.3 ) ( 0.25 – 0.4 ) ( 0.25 – 0.5 ) 5!25 e 0.5 c) ( 0.25 ) ( 0.25 – 0.1) ( 0.25 – 0.2 ) ( 0.25 – 0.3 ) (0.25 – 0.4 ) ( 0.25 – 0.5 ) 6 ! 2 6 e d) ( 0.25 ) ( 0.25 – 0.1) ( 0.25 – 0.2) ( 0.25 – 0.3 ) ( 0.25 – 0.4)( 0.25 – 0.5 ) 5 ! 25 e - - (0.25)(0.25-0.1)(0.25-0.2)(0.25-0.3)(0.25–0.4)(0.25–0.5) ,6 ,0.5 6! (0.25)(0.25–0.1)(0.25–0.2)(0.25–0.3)(0.25,0.4)(0.25–0.5) 25 0.5 5! O (0.25)(0.25–0.1)(0.25–0.2)(0.25-0.3)(0.25-0.4)(0.25–0.5) -26e 6! (0.25)(0.25–0.1)(0.25–0.2)(0.25–0.3)(0.25–0.4)(0.25–0.5) ,5. 5!
The standard deviation of X, denoted by SD(X), is defined by SD(X) = VVar(X) Suppose that SD(X) = 5. Find SD(6X +9).
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 120 pounds and a standard deviation of 39.9 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. H = o: = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. OA. O B. Oc. OD. -110.6 9.4 129.4 101.2 120 138.8 -350.6 9.4 369.4 91.8 120 148.2 Click to select your answer(s). P Type here to search 11:24 AM 2/1/2021 Home End
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Given the normally distributed variable X withmean 18 and standard deviation 2.5, find(a) P(X <15);(b) the value of k such that P(X <k) = 0.2236;(c) the value of k such that P(X >k) = 0.1814;(d) P(17 < X < 21).---------------------------------
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Q2: B. Given a normally distributed variable X with mean 4 and standard deviation 2, find: (a) P(X<5). (b) The value of k such that P(X5). (d) P(1.8