1/121/61/101723.P(w)1/21/51/54. Find the mean of the probability distribution of the random variable X, which10can take only the values 1, 2, and 3, given that P(1) -, P(2) -, and P(3) -5. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective partsin one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the meanof the probability distribution.B. Determine the Variance and Standard Deviation of each random variable. Writeyour answer in your answer sheets.1.1234P(x)1154682.P(z)0.60.10.20.1m13573.P(m)40%25%15%20%4. The random variable X, representing the number of nuts in a chocolate bar hasthe following probability distribution. Compute the variance and standarddeviation.X1245P(x)1332110101010105. The number of items sold per day in a sari-sari store, with its correspondingprobabilities, is shown in the table below. Find the variance and standard deviationof the probability distribution.Number of Items SoldProbabilityP(x)X190.20200.20210.30220.20230.10What I Have LearnedAnswer the following questions in your own understanding.1. How to compute the mean of a discrete random variable? State

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4. Find the mean of the probability distribution of the random variable X, which 10 1 12 can take only the values 1, 2, and 3, given that P(1) P(2) - 33' and P(3) - -- %3D

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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