1. A researcher suspected that the number of between-meal snacks eaten by students in a day during final examinations might depend on the number of tests that a student had to take on that day. The following table shows joint probabilities, estimated from a survey. Number of Number of Tests (X) Snacks (Y) 1 3 0.07 0.09 0.06 0.01 1 0.07 0.06 0.07 0.01 2 0.06 0.07 0.14 0.03 0.02 0.04 0.16 0.04 a. Find the mean number of tests taken by students on that day. b. Find the mean number of snacks eaten by students on that day. c. Find and interpret the conditional probability function of Y, given that X = 3. d. Find the covariance between X and Y. e. Are the number of snacks and number of tests independent of each other?

1. A researcher suspected that the number of between-meal snacks eaten by students in a day during final examinations might depend on the number of tests that a student had to take on that day. The following table shows joint probabilities, estimated from a survey. Number of Number of Tests (X) Snacks (Y) 1 3 0.07 0.09 0.06 0.01 1 0.07 0.06 0.07 0.01 2 0.06 0.07 0.14 0.03 0.02 0.04 0.16 0.04 a. Find the mean number of tests taken by students on that day. b. Find the mean number of snacks eaten by students on that day. c. Find and interpret the conditional probability function of Y, given that X = 3. d. Find the covariance between X and Y. e. Are the number of snacks and number of tests independent of each other?

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Description: 1. A researcher suspected that the number of between-meal snacks eaten by students in a day during finalexaminations might depend on the number of tests that a student had to take on that day. The following tableshows joint probabilities, estimated

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

1. A researcher suspected that the number of between-meal snacks eaten by students in a day during final
examinations might depend on the number of tests that a student had to take on that day. The following table
shows joint probabilities, estimated from a survey.
Number of
Number of Tests (X)
Snacks (Y)
3
0.07
0.09
0.06
0.01
1
0.07
0.06
0.07
0.01
2
0.06
0.07
0.14
0.03
0.02
0.04
0.16
0.04
a. Find the mean number of tests taken by students on that day.
b. Find the mean number of snacks eaten by students on that day.
c. Find and interpret the conditional probability function of Y, given that X = 3.
d. Find the covariance between X and Y.
e. Are the number of snacks and number of tests independent of each other?

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