QUESTION TWOA researcher suspected that the number of between-meal snacks Y, eaten by students in a dayduring final examinations might depend on the number of tests X, a student had to take on thatday. The accompanying table shows joint probabilities, estimated from a survey.Number of Tests (X)20.060.070.140.16Number of Snacks (Y)000.0710.0720.0630.02(a) Find the marginal probability function of X.(b) Find the mean number of tests taken by the students on that day.(c) Find the marginal probability function of Y.(d) Find the mean number of snacks eaten by the students on that day.(e) Find and interpret the conditional probability function of Y, given that X = 3.(f) Find the covariance between X and Y.(g) Find the correlation coefficient between X and Y.(h) Are number of snacks and number of tests independent of each other?10.090.060.070.0430.010.010.030.04

The data is given in the table. Note:“Since you have posted a question with multiple sub parts, we…

Answered: (a) Find the marginal probability…

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) Find the marginal probability function of X. (b) Find the mean number of tests taken by the students on that day. (c) Find the marginal probability function of Y.