E ze 3. A random variable X has the following probability function.1.46.7Values of Xp(x)0.K2K2K3KK?2K?7K? + K(1) Find K.(2) Evaluate P(X < 6), P(X > 6) and P(0 X < 5).(3) If P(X £ K) >find the minimum value of K and v paisimil ad o2(4) Determine the distribution function of X.0ng hotnaio hsllas Peldmotudittaib noteaio9 auglisate baa

Answered: E ze 3. A random variable X has the…

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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8.
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1. Suppose a discrete random variable Xhas probability function given by 5. 10 12 0.13 POX-1) 0.08 0.16 025 16 2y 0.03 005 Solve for y andfind the mean and variance of X.
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W is a random variable with probabilities for w= 0,1 P(W = w) = {2h + k for w= 2 %3D 3k for w= 3,4 7 find the values of h and k. 10 (а) If P(W <2) = (b) Construct a probability distribution table for W. 4.
residence), the average 220V is measured and the standard deviation is co ated as 4V. What is the least probability that the voltage of a randomly selected When the phase-neutral voltage value of the consumers fed from a transformer is measured from the vault point (you can assume the entry point to the consumer is between 202V and 232V? G0 100555- g160100555870479447 B A 60 100555- 14/25 3/4 60100555-987047 g160100555 - 9870479447 15/16 g160 0555 -987 8/9 60100555- g160100555 - 9870479447 TO 12/13 60100555-987047 g160100555 -987047944 g160100555 - 9870479447 g160100555 - 987047944 60100555-987047 g160100555 - 9870479447 g160100555 -987047944 60100555-9870475 g160100555 - 9870479447 g160100555 -987047944 60100555-9 g160100555 - 987047944 g160100555 - 987047944 g160100555 - 9 g160100555 987047944 g160100555 - 9
2. A random variable X has a probability mass function given by: 1 0.2 a. Determine P(x) = 2 b.Find P(X<2) c. Find P(X≥ 3) X P(x) 0 0.1 2 ? 3 0.4
3. Determine the value c so that each of the following functions can serve as probability distributions of the discrete random variable X: a. f(x) = c(x² +4) for x = 0,1, 2, 3; 3 b. f(x)%3Dс for x= 0,1, 2 3-x
4. Find the mean of the discrete random variable X with the following probability distribution. Use this formula. μ -ΣΙΧ . P (X)] P(x) х. Р(х) x2 x² . P(x) X 14 1 /½ 5. Referring to the table above, solve for the variance and standard deviation. Use this formula. o² = E[x2 . P(X)1 – µ? E[x² - P(X)] – µ² | O =

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