True or False1. The sum of the probabilities of all values of the random variable must be equal to 12. The capacity of water dams in a region is an example of discrete random variable3. TRUE4. A standard normal curve is a normal probability distribution that has a mean of oneand standard deviation of one5. The width of the curve in normal distribution is determined by the standard deviationof the distribution6. The mean of the sampling distribution of the sample means is less than the populationmean7. The standard error of the mean is standard deviation of the sampling distribution onthe sample means8. The sampling variability of the sample means becomes smaller as the sample size ngets larger9. In estimating the mean, the degree of freedom is equal to (n-1)10. The t-distribution is asymmetric about the mean

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True or False 1. The sum of the probabilities of all values of the random variable must be equal to 1 2. The capacity of water dams in a region is an example of discrete random variable 3. TRUE

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

True or False
1. The sum of the probabilities of all values of the random variable must be equal to 1
2. The capacity of water dams in a region is an example of discrete random variable
3. TRUE
4. A standard normal curve is a normal probability distribution that has a mean of one
and standard deviation of one
5. The width of the curve in normal distribution is determined by the standard deviation
of the distribution
6. The mean of the sampling distribution of the sample means is less than the population
mean
7. The standard error of the mean is standard deviation of the sampling distribution on
the sample means
8. The sampling variability of the sample means becomes smaller as the sample size n
gets larger
9. In estimating the mean, the degree of freedom is equal to (n-1)
10. The t-distribution is asymmetric about the mean

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