2. a) Let X and Y be independent identically distributed binomial randomvariables, X~ Bin(3, 0.4) and Y ~ Bin(3, 0.4).i) Compute the probability P(X = 0).ii) Compute the probability that the product XY equals 0, that is,compute P(XY = 0).b) The actual amount of jam (in g) that a filling machine puts into "150 g"jars may be looked upon as a random variable having a normal distribu-tion with σ = 6 and mean μ = 155.What proportion of jars, in the long-run, contain less than 150 g?N(0, 1),Give your answer in terms of the function, where for Z(z) = P(Z), and a give a sketch of the normal curve with a shadedarea that corresponds to the required probability.

Let's solve the provided problems step by step:### 2(a)#### i) Compute the probability \( P(X = 0)…

Answered: 2. a) Let X and Y be independent…

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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