3) Capture the solution using CamScanner and convert into ONE PDF file only4) Rename the file (Name_Matric NO): For ex: SHAFIQ 21876255) Upload the PDF file through Microsoft Teams.Question:1) A box containing 10 yellow balls, 6 blue balls, 9 green balls, and 5 red balls. A randomexperiment was conducted by drawing 1 ball from the box randomly. Let X be a functiondefined on the outcome space such that: X(yellow ball drawn) = 1,X(blue ball drawn) = 2, X(green ball drawn) = 3 and X(red ball drawn) = 4%3DFind:a. p.m.f of random Variable Xb. Mean of Xc. Variance of Xd. Find the following probabilities.i P(X = 3)ii. P(X > 3)ii. P(2

Answered: Image /qna-images/answer/cc4e29d9-589c-4f21-8a7c-ca4b89da8996.jpg

Answered: Question: 1) A box containing 10 yellow…

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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A QR code photographed in poor lighting, so that it can be difficult to distinguish black and white pixels. The gray color (X) in each pixel is therefore coded on a scale from 0 (white) to 100 (black). The true pixel value (without shadow) the code is Y = 0 for white, and Y = 1 for black. We treat X and Y as random variables. For the highlighted pixel in the figure is the gray color X = 20 and the true pixel value is white, i.e. Y = 0. We assume that QR codes are designed so that, on average, there are as many white as black pixels, which means that pY (0) = pY (1) = 1/2. In this situation, X is continuously distributed (0 ≤ X ≤ 100) and Y is discretely distributed, but we can still think about the simultaneous distribution of X and Y. We start by defining the conditional density of X, given the value of Y : fX|Y(x|0) = "Pixel is really white" fX|Y(x|1) =" Pixel is really balck " Use Bayes formula as given in the picture and find the probability for x = 20 like in the picture.
1.) The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours which is found to be uniformly distributed. Let x be the time needed to fix an A/C unit. b.) Find the probability that a randomly selected A/C unit repair requires less than 3.5 hours?
Cards are picked sequentially without replacement from a well-shuffled deck of 52 cards until either all SPADES are found or all CLUBS are found. Let X denote the number of cards picked. Find E(X) using indicator random variables.
The degrees of freedom (df) for the One Sample t test and the Independent Sample t test are _________. a. One Sample t test: N-1 Independent Samples t test: N-1 b. One Sample t test: N Independent Samples t test: N-1 c. One Sample t test: N-1 Independent Samples t test: N-2 d. One Sample t test: N-2 Independent Samples t test: N-1
3. An integer is randomly chosen from the set 1, 2,..., 100. If this integer is divisible by 2 we let Y = 0, and if it is not divisible by 2 but is divisible by 3 then Y = 1. We let Y = 2 in all other cases. Find mean and variance of Y.
A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)?
A certain scientific department is called that the students of the department will take the final exams and get points more than 50 points if they are provided with various questions for previous exams in scientific topics To test this claim, 20 students who are expected to graduate were taken and distributed into 10 pairs, so that in each pair there were two students with the same qualifications, and the results of the exam were recorded as follows. 17 (2 575 543 719 591 660 451 579 663 621 531 Students who studied the questions 524 530 748 568 683 424 502 688 540 509 Students who did not study the questions Test the level of significance of 0.05 that looking at the previous exams questions increases the students' grades by at least 50 points.
Let A and Bevents in a sample space S such that S = AUB. Suppose that P(A) = 0.3, P(B) = 0.6,and P(AN B) = 0.2. Find P(AU B).
A container contains 30 green tokens, 10 blue tokens, and 3 red tokens. Two tokens are randomly selected without replacement. Compute P(F|E). E−you select a green token first F−the second token is non−green ... Question content area right Part 1 P(F|E)=enter your response here (Simplify your answer. Type an integer or a fraction.)
A sample space has 3 outcomes, {O1, O2, O3}. Suppose E= {O1, O2}, and F= {O1, O3}. If Pr[E]= 0.67 and Pr[F]= 0.54, what is Pr[{O2, O3}]?

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