Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and0.3.0.3 e4 +0.4 • e² + 0.3-4z0.3 e +0.4+ 0.3. e4z1+0.3. e4z+0.3 · e-4ze40.3 ez +0.4 e² + 0.3. e4z

The probability distribution of the defined random variable is:The objective is to obtain the MGF…

Answered: Write the m.g.f. of a r.v. X taking on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) = 0.19; P(H AND G) = 0.1. Using this information: Find the complement of P (H AND G). Type answer with 0 in front of decimal to 2 places. If answer is like .2, type 0.2 not .2 or 0.20.
A sample is selected from one of two populations, S, and S₂, with P(S₁) = 0.6 and P(S₂) = 0.4. The probabilities that an event A occurs, given that event S, or S₂ has occurred are P(A|S₂) = = 0.4 and P(AIS₂) = 0.3 and the probability of event A is P(A) = 0.36. Use Bayes' Rule to find P(S, IA). (Round your answer to four decimal places.)
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
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Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4. e² + 0.3. e4 0.3 e 4 +0.4+ 0.3. e4% 1+0.3 ez + 0.3 · e-4z O 0.3 e4z +0.4 e² + 0.3 e -4% .