RUE OR FALSE. Write TRUE if the statement is always correct, otherwise write 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 a discrete random variable. 3. The formula u = EX-P(X) is used to compute for the mean of a probability distribution. 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 the standard deviation of the sampling distribution of 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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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"RUE OR FALSE. Write TRUE if the statement is always correct, otherwise write 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 a discrete random variable.
3. The formula u =
ΣΧΡ()
is used to compute for the mean of a probability distribution.
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 the standard deviation of the sampling distribution of
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.
Transcribed Image Text:"RUE OR FALSE. Write TRUE if the statement is always correct, otherwise write 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 a discrete random variable. 3. The formula u = ΣΧΡ() is used to compute for the mean of a probability distribution. 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 the standard deviation of the sampling distribution of 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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