**Table 2: Cumulative Poisson Probabilities**This table presents cumulative Poisson probabilities where the tabulated values are \( P(X \leq k) = p(0) + p(1) + \cdots + p(k) \). The computations are rounded to the third decimal place.**Explanation:**- The table is divided into two main sections, each displaying cumulative probabilities for different values of \( \mu \) (the mean of the Poisson distribution) and \( k \) (the number of events).- The first section covers \( \mu \) from 0.1 to 1.5.- The second section covers \( \mu \) from 2.0 to 7.0.**Columns and Rows:**- **\( k \):** Represents the number of events occurring in a fixed interval.- Each column under a specific \( \mu \) value represents the cumulative probability up to \( k \).**Usage:**This table is useful for quickly finding the probability of observing up to \( k \) events in a Poisson distribution with a given mean \( \mu \). It is often applied in fields such as queue theory, finance, and natural sciences to model the number of events in a fixed interval of time or space. Let \( x \) be a Poisson random variable with \( \mu = 0.9 \). Find the probabilities for \( x \) using Table 2. (Round your answers to three decimal places.)- \( P(x = 0) \) - 0.407 ✓ - \( P(x \leq 1) \) - [Input box]- \( P(x > 1) \) - [Input box]- \( P(1 \leq x \leq 3) \) - [Input box]

The whole table of cummulative poisson distribution is givenWhere column represent and row…

Answered: Let x be a Poisson random variable with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Let x be a Poisson random variable with μ = 0.9. Find the probabilities for x using Table 2. (Round your answer P(x = 0) 0.407 P(x ≤ 1) P(x > 1) P(1 ≤ x ≤ 3)