Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective probabilities .15, .10, .20 .20, .20, .15.The following table summarizes this:xp(x)234.15 .10 .20a. Find the probability that X² > 15.b. Calculate the expected value ex of X5.20c. Calculate the expected value ex2 of x²d. Calculate the variance of Xe. Calculate the standard deviation of Xf. Calculate the variance of 2Xg. Paste your R script in the box below.This answer has not been graded yet.67.20 .15

X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Answered: Let X be a discrete random variable…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Let X be a random variable with the following probability f(x) = c(1 – 2x2 + x3), x = 0, 1, 2, 3, 4, 5. Find the value of c to make it a probability Establish the probability distribution of X (table). Find the mean of the random variable
Solve the last part please
Let X be a discrete random variable that takes on the values -2, 3, 4, 5, -6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: x p(x) -2 -4 3 10 .11 21 a. Find the probability that X>0. b. Calculate the expected value ex of X 5 22 c. Calculate the expected value ex2 of x² d. Calculate the variance of X e. Calculate the standard deviation of X f. Calculate the variance of 4X 9. Paste your R script in the box below. -6 7 23 13
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) |x(girls)| P(x) 0.000 0.122 10 0.061 1 0.001 0.183 11 0.022 2 0.006 7 0.210 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting 12 or more girls. 0.001 O 0.022 0.006 O 0.007
Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
She then stops
There is small parking lot behind a floral shop that has two parking lot spaces.let x be the number of cars parked in the parking lot at midday. the probability distribution of x is given by P(X=x)=4 - x /9 x=0,1,2 contruct the probability distribution table?
I need the answer as soon as possible
plz provide handwritten answer for part b
Q6
0.10.20.40.5
Show that the expectation of the sum of two random variables defined over the same sample space is the sum of the expectations. Hint: Let p1, p2, ··· , pn be the probabilities associated with the n sample points; let x1, x2, ··· , xn, and y1, y2, ··· , yn, be the values of the random variables x and y for the n sample points. Write out E(x), E(y), and E(x + y)

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